Question

Write the point-slope form in slope-intercept form. y-3=3(x-4)

Answer 1

Answer: y = 3x - 9

Explanation:

Our task is to write the point-slope form in slope-intercept form.

The equation is:

`\sf{ y-3=3(x-4)}`

Distribute the 3:

`\sf{y-3=3x-12}`

Add 3 to both sides:

`\sf{y=3x-12+3}`

Simplify.

`\boxed{\sf{y=3x-9}}`

Answer 2

Answer: y = 3x - 9

Work Shown

y - 3 = 3(x - 4)

y - 3 = 3x - 12

y = 3x - 12 + 3

y = 3x - 9

Extra info

• This linear equation has slope of 3, and the y-intercept is -9.
• Two points on this line are (0,-9) and (1,-6).