Write the slope-intercept form of the equation of each line.

Question

asked Jul 18, 2020 91.7k views

1 Answer

Mocktheduck · Answer 1 · 2020-07-23T04:21:16+0000

Answer:

$\large\boxed{y=-(7)/(3)x+4}$

Explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept (0, b)

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points:

(0, 4) → b = 4

and (3, -3)

Substitute:

$m=(-3-4)/(3-0)=(-7)/(3)\\\\y=-(7)/(3)x+4$