Question

6. A line passes through (1, -5) and (-3, 7).

a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answer 1

1.y−7=3(x+3)

2.y=3x+16

Explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= -
`(y2-y1)/(x2-x1)`

plug in the value of x and y from both of the coordinates into this equation and then use one set of points and slope to get your equation