Question

use the graph to derive the equation of the line in slope-intercept form. (1 point) (1,3) (0,-2)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line. The slope (m) can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Let's substitute the given points (1,3) and (0,-2) into the formula:

m = (3 - (-2)) / (1 - 0)
m = 5 / 1
m = 5

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

y - y1 = m(x - x1)

Using the point (1,3):

y - 3 = 5(x - 1)

Now simplify:

y - 3 = 5x - 5

Add 3 to both sides:

y = 5x - 2

Therefore, the equation of the line in slope-intercept form is y = 5x - 2.