Question

#9 please help me solve this

Answer 1

y = (5/2)x + 6

Explanation:

y = (5/2)x + c

-9 = (5/2)(-6) + c

-9 = -15 + c

c = 6

y = (5/2)x + 6

Answer 2

Given:

Point (-6, -9)

Slope =
`(5)/(2)`

To find:

Equation of a line in slope-intercept form

Solution:

Here
`x_1=-6, y_1=-9`

`$m=(5)/(2)`

Using point-slope formula:

`y-y_1=m(x-x_1)`

Substitute the values in the formula.

`$y-(-9)=(5)/(2) (x-(-6))`

`$y+9=(5)/(2) (x+6)`

`$y+9=(5)/(2) x+(5)/(2)(6)`

Cancel common factor in 2 and 6, we get

`$y+9=(5)/(2) x+5(3)`

`$y+9=(5)/(2) x+15`

Subtract 9 from both sides.

`$y+9-9=(5)/(2) x+15-9`

`$y=(5)/(2) x+6`

The equation of a line in slope-intercept form is
`y=(5)/(2) x+6`.