Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

Q: Write the equation of a circle with center (11.-17) and that passes through (10. -12 x-117- y + 17 =…

A: Given : Center = 11,-17 The circle is passing through 10,-18

Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: Parallel to the line y=-3x+ 2; containing the point (-1,2)

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Q: Find an equation of the circle whose diameter has endpoints (-6, -1) and (2, -3). 0 = X S ?

A: We have to find the equation of circle.

Q: What is the midpoint of the line segment with the equation y=1/2x+3 between x=-4 and x=8?

A:

Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

A:

Q: Find the equation of the line parallel to 6x + 2y = 7 passing through the point (5, 4). y =

A:

Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Find all points on the circle x2 + y2 = 100 where the slope is 3/4.

A: Given equation of circle, x2+y2=100                          ...(1)

Q: |Find the equation of the line passing through the point (-1,-4) and having m =-3/2 with x-axis.

A: To find the equation of line passing through the given points.

Q: Find an equation for the line perpendicular to the line 8x−6y=-2 having the same y-intercept as…

A: Find the equation of line perpendicular to line 1:and y-intercept is same as line 2.

Q: Find the equation that is perpendicular to y = 2x – 1 and passes through the point (2,3). What is…

A:

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Determine the equation of a circle whose center is (- 1, 8) and whose radius is 3. 0 (x - 1) + (y +…

A:

Q: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Find an equation of the line containing the centers of the two circles               x2 + y2 - 4x +…

A: The given equations are x2+y2-4x+6y+4=0    and   x2+y2+6x+4y+9=0. Rewrite the above equations in…

Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

A:

Q: Find all points on the circle x2 + y2 = 100 where the slope is 3/4

A: Given circle x2+y2=100 .....(1)  where the slope is 34we have to find all points on the circle

Q: Find the slope of the circle x2 + y2 = 25 at the point (3, -4).

A:

Q: Write the equation of a circle given the graph. 4- -4 0 -4- x² + y? =

A: To find the equation of the given circle figure

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: If the equation y = 2x – 5x + 3 is graphed in the - xy-plane, what is the value of its y-intercept?

A: Given,            y=2x2 - 5x + 3

Q: Find the equation of a circle centered at (-2,5) if it passes throught the point (4,5),

A: Given,

Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

A:

Q: Find the equation of the line perpendicular to 3x + 5y = 3 passing through the point (5, 2). y =

A:

Q: Find the equation of the line that passes through the points (−800,200) and (-400,300) in y=mx+b…

A:

Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: Find the equation of a circle whose center is at (4,-5) and radius 9.

A:

Q: Find the standard form for the equation of the line which passes through the point (5, –19) and…

A:

Q: Find the equations of the curve for which y" = 6x2  and which passes through the points (0,2) and…

A: We have to find equation of curve, With differential equation y" = 6x2  which passes through the…

Q: Find the equation of a circle of radius 3 and centered at (-1,3).

A: We find equation of circle of radius 3 and centred at (-1,3)

Q: Find the equation of the line passing through the point (1,6) and perpendicular to the line y=3x-9.

A: y=3x-9   ⇒3x-y=9    ∴The slope of line is +3    ∴The slope of line which is perpendicular…

Q: Choose the equation of a circle with radius 6 and center (3, - 5).(a) (x - 3) 2 + (y + 5) 2 = 6(b)…

A: It is given that  The circle with radius 6 and center (3, - 5).

Q: Find the equation of a circle whose center is at (4,-7) and radius 6.

A:

Q: Graph the circle. +y+6x-2y-15=0 y 8- 7+ 6+ 4+ 3- MEA -7 -6 -5 -4 -3 -2 -1 4. 6. -2+ -3+ -5- -7- 00…

A: We have to draw the graph

Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: Find the point on the line whose equation is 2x + y - 2 = 0  that is closest to the origin.

A: we have to find the point on the line whose equation is 2x+y-2 = 0  that is closest to the origin.

Q: What is the equation of the circle with center on the y-axis, that passes through the origin and the…

A:

Q: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: Sketch the curves 2.)  y = 36 + 12x - x3

A: This question is taken from the curve sketching in which we have to sketch the given function. We…

Q: B. Write the equation for the line parallel to y = 2x – 2, through the point (– 1,6). %3D Equation:

A: The equation for the line parallel

Q: What is the equation of the circle through the x-intercept of 5x - 8y -10 and center at (5. 1)?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: Find the equation of the line that is perpendicular to y = 6x – 2 and %3D

A: To find the equation of line perpendicular to given line.

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…

Q: Find the equation of the line that goes through the point (8, -3) and is perpendicular to the graph…

A: A line is a graph of an equation of the form ax+by=c. Equation of a line is uniquely determined if…

Q: Find the equation of the general circle that touches the axes of the two points (-0.3,0) , (0,0.3)

A: Equation of circle