Question

Write up to four different equations for the line passing through these points.

(-8,-3) (-4,0) (0,3) (4,6)

Answer 1

To find the equations for the line passing through the given points, we can use the slope-intercept form of a linear equation, y = mx + b.

Step-by-step explanation:

To find the equations for the line passing through the points (-8,-3), (-4,0), (0,3), and (4,6), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

1. Using the points (-8,-3) and (-4,0), we can calculate the slope: m = (0 - (-3)) / (-4 - (-8)) = 3 / 4.
2. Using the slope and the point (-8,-3), we can write the equation: y = (3/4)x + (9/4).
3. Similarly, for the other points, we get the following equations: y = (3/4)x + (3/2), y = (3/4)x + (15/4), and y = (3/4)x + (21/4).