Question

Y-10=8(x-5)
Please put in slope-intercept form

Answer 1

Our answer is: y = 8x - 30.

`\Large\textsl{Explanation}`

We are asked to put the following equation into slope-intercept form:

• 
  `\bf{y-10=8(x-5)}`

Distribute 8 -

• 
  `\bf{y-10=8x-40}`
• 
  `\bf{y=8x-40+10}`
• 
  `\bf{y=8x-30}`

`\therefore` y = 8x - 30

N O T E -

• Slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

Answer 2

y=8x-30

Explanation:

To put a point slope equation into y-intercept form you need to solve the equation like this:

1. Distribute!

8x-5=-40

then even out the sides

y-10=-40

+10 +10

y=-30

So now you have your y intercept.

The 8 is the slope.

So put it all together:

Y=8x-30