graphing equations practice

Question

use the image to answer the question
(0,-2), (3,0)

write the equation of the line in slope intercept form

Answer 1

To find the equation of the line in slope-intercept form, we need to determine the slope of the line and the y-intercept.

Given the points (0, -2) and (3, 0), we can first find the slope using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - (-2)) / (3 - 0)
= 2 / 3

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Let's choose one of the given points, say (3, 0), and substitute its coordinates into the equation:

y - 0 = (2/3)(x - 3)

Simplifying:

y = (2/3)(x - 3)

Thus, the equation of the line in slope-intercept form is y = (2/3)(x - 3).