Question

Write an equation of the line in slope- intercept form.

A. Y= -4/5x - 3
B. Y = -4/5x + 3
C. Y= -5/4x - 3
D. Y= -5/4x + 3

Answer 1

A

Explanation:

becuase the 3 is negtive and the 4/5 so it A

Answer 2

`a)\ y=-(4)/(5)x -3`

Explanation:

Slope (m) form:
`(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(-3-1)/(0-(-5)) \\\\m=(-4)/(0+5) \\\\m=-(4)/(5)`

`y=mx+b\\y=-(4)/(5)x +b`

(-5, 1)

`y=-(4)/(5)x +b\\1=-(4)/(5)(-5) +b\\1=4+b\\-4-4\\-3=b`

`y=-(4)/(5)x -3`

Check your answer:

`y=-(4)/(5)x -3 \\1=-(4)/(5)(-5) -3\\1=4-3\\1=1`

This statement is true

Hope this helps!