Question

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

Answer 1

`\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`