Question

I need help on 10 and 12. We need to put them into slope intercept form but in confused on how to do that

Answer 1

10) Answer: y = -3x - 7

Explanation:

You need to use the Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is the slope.

You are given the point (-1, -4). Now you need to find the slope.

You are given the 9x + 3y = 8. Rewrite this in slope-intercept form by solving for y so it is in the form y = mx + b.

9x + 3y = 8

-9x -9x

3y = -9x + 8

÷3 ÷3

y = -3x + 8/3

↓

m = -3

Parallel lines have the same slope so m = -3

Next, plug in the point (-1, -4) and the slope (-3) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - (-4) = -3(x - (-1))

y + 4 = -3(x + 1)

y + 4 = -3x - 3

-4 -4

y = -3x - 7

******************************************************************************************

12) Answer:
`y = -(2)/(5)x +(11)/(5)`

Explanation:

follow the same steps as #10

Point (3, 1) m = ??

2x + 5y = 7

-2x -2x

5y = -2x + 7

÷5 ÷5

y =
`-(2)/(5)x +(7)/(5)`

↓

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

Parallel lines have the same slope so m =
`-(2)/(5)`

Next, plug in the point (3, 1) and the slope
`(-(2)/(5))` into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 1 =
`-(2)/(5)`(x - 3)

y - 1 =
`-(2)/(5)x`+
`(6)/(5)`

+1 +
`(5)/(5)`

y =
`-(2)/(5)x +(11)/(5)`