For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information. (See Examples 3–4.) The line passes through the point ( 4 , 0 ) and is parallel to the line 3 x + 2 y = 8 .
For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information. (See Examples 3–4.) The line passes through the point ( 4 , 0 ) and is parallel to the line 3 x + 2 y = 8 .
Solution Summary: The author calculates the equation of the line passing through (4,0) and parallel to line 3x+2y=8 using point-slope formula.
For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information.(See Examples 3–4.)
The line passes through the point
(
4
,
0
)
and is parallel to the line
3
x
+
2
y
=
8
.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
In Exercises 5–20, find the equation of each of the lines with the given
properties. Sketch the graph of each line.
In Exercises 105–108, use a graphing utility to graph each linear
function. Then use the TRACE feature to trace along the
line and find the coordinates of two points. Use these points to
compute the line's slope. Check your result by using the
coefficient of x in the line's equation.
105. y = 2x + 4
106. y = -3x + 6
1
107. f(x) =
-X-
2
3
108. f(x) = 7*
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY