1. Write the equation of the line having the given conditions. Write the answer in slope-intercept form if possible. (a) Passes through (–2,–1) and (5, –3) (b) Passes through (2,3) and is perpendicular to the line defined by 2x = -4y (c) Passes through (-;) and is parallel to the y-axis

Q: 9. Write an equation of the line, in the form y = mx + b, that is: a. parallel to the line y = 2x –…

A: 9) a) parallel line y= 2x +c as y-intercept = 1 ie c=1 so y = 2x+1 is the required parallel line…

Q: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

Q: Find the equation of the line containing the point  P(4, 4)  and parallel to the graph of  5x + y…

A:

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Find an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

A:

Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: Given that line passes through point A and having x-intercepts = 4 and y-intercepts = -3

Q: Find the equation of the line containing the point P(4, 5) and parallel to the graph of 4x + y = −1.

A: We first find the slope of 4x+y=-1y=-4x-1compare this with y=mx+bm=-4slope=-4

Q: Find an equation of the line that satisfies the given conditions. Throught (2,6); perpendicular to…

A: y=1;(2,6)

Q: Find an equation of the line that is parallel to the line 4x + 3y = 2 and passes through the point…

A:

Q: Which of the following lines passes through the point (3, –7) and is perpendicular to the line whose…

A:

Q: 12. Find an equation of the line perpendicular to 3x – 2y = 7 that contains the point (1, 5).

A: In this question, we have to find the equation of a line that is passing through the point (1, 5)…

Q: Find the equation of the line that passes through the point (4, 3) and is perpendicular to 4x – 9y =…

A: Here we find the equation of line passes through (4,3) and is prependicular to 4x-9y=9.

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing…

A:

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)², and passing…

A: slope m at (2,1)  m = 2(2+5)2 m = 2*49 m = 98 so line equation y - y0 = m(x - x0 ) y -1 = 98(x - 2)…

Q: 3. Find the standard form for the equation of the line which passes through the point (3, –2) and…

A: FORMULA : General equation of any staright line => y = mx +c TO CALCULATE : m & c GIVEN : c

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Determine the equation of the line in explicit form y=mx+b passing through the following two points:…

A:

Q: If a line has an x-intercept at x=−5x=-5 and a y-intercept at y=1y=1, find its equation in the form…

A:

Q: 10. Find the equation of the line perpendicular to 3x - 2y = 6 and passing at a distance 5 units…

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y =…

A: Given, a line passing through the point (2, 3) and perpendicular to the line 2y = 6 – 3x.First…

Q: 1) Find the r- and y-intercepts of the line with the given equation. Sketch the line using the…

A: Given information: 2x+y=-4

Q: Find an equation of the tange line to the graph of the equation at the given point. y =2x2+4x;…

A: We have to find

Q: Find an equation of the line that satisfies the given conditions. Through (-2, 3); perpendicular to…

A: Here we find the equation of the line that satisfies the given condition .Through -2,3 ;…

Q: Find an equation of the line that satisfies the given conditions. Throught (-1,2); parallel to the…

A: Line passes through the point -1, 2 and parallel to the line x=5. The line x=5 represents a vertical…

Q: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=…

A:

Q: 2. Find the equation of a line which has a y-intercept equal to -2 and is also perpendicu to the…

A: Given data is: y-intercept of required line  c=-2 To find the equation of the line which is…

Q: Determine the equation of the line in explicit form y=mx+b passing through the two points (-2,3) and…

A:

Q: Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

A:

Q: At what points on the curve x=3t^2 + 1, y=t^3 -1 does the ranger line have a slope 1/2?

A: The slope of the tangent line is given by, dydx=dydtdxdt=ddt3t2+1ddtt3-1=6t3t2=2t Given that the…

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing…

A:

Q: Find an equation for the line with the given properties. Parallel to the line 3x + 2y = 17;…

A:

Q: 11. Find an equation of the line passing through the point (6, 5) and perpendicular to the line…

A: We know that slopem of line which is perpendicular to lineax+by=c is given by m=ba…

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

Q: 14. Find the equation for the line that passes through the point (4, - 2) and is perpendicular to…

A: The objective is to find the equation of line.

Q: Find the equation of the line containing the point P(−1, 3) and perpendicular to the graph of 2x +…

A:

Q: Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line…

A: Given : To determine the equation of the line passing through the point 2,4 and perpendicular to 3x…

Q: 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y =…

A:

Q: Find an equation of the line that satisfies the given conditions. 1 Through (-2, 2); perpendicular…

A: Here we find the equation of line satisfies the given condition through-2,2 ; perpendicular to the…

Q: 6) Find the slope of the line passing through the midpoints of AC and BC. C (4,12) y-axıs B(16,3)…

A: We have to find the slope

Q: Find the equation of the line that contains the point P(−4, −3) and is perpendicular to the graph of…

A: To determine the equation of the straight line satisfying the given properties

Q: Find an equation of the line that satisfies the given conditions. Through (1/2,2/3); perpendicular…

A: The standard line equation in point-slope form is y-y1=m2x-x1. Since the line is passing through…

Q: 1) Find the equation of the line passing through the point (2, -3) and (a) parallel to the line with…

A:

Q: Find an equation of the line that satisfies the given conditions. y intercept 6; parallel to the…

A: y-intercept of the line is 6 and is parallel to the line 2x+3y+4=0. Now the slope of the line…

Q: 14. Find the equation for the line that passes through the point (4, 1) and is perpendicular to the…

A: As we know that the equation of the line slope intercept form is: y=mx+c Where 'm' is the slope and…

Q: f a line has an x-intercept at x=2x=2 and a y-intercept at y=−6y=-6, find its equation in the form…

A: Given: The line has x-intercept at 2.            and y-intercept at -6.

Q: parallel to the line 2x+3y+4=0

A: Equation of line passing through point and with slope m . (y-y1)=m(x-x1)  if two lines are parallel…