Question

What is the equation in point slope form of the line that passes through the point (−2, 4) and has a slope of 5?

Drag and drop the appropriate number, symbol, or variable to each box.

Use point-slope form: y − y1= m(x − x1)

Attached file with numbers

Answer 1

y-4=5(x-(-2) the subtraction sign cancels out

Answer 2

`y-4=5(x+2)`

Explanation:

1. Write the point-slope equation:

`y-y_(1)=m(x-x_(1))`

2. Name the points given as:

`x_(1)=-2`

`y_(1)=4`

`m=5`

3. Replace the points in the point-slope equation and solve the parenthesis:

`y-y_(1)=m(x-x_(1))`

`y-4=5(x-(-2))`

`y-4=5(x+2)`

`y-4=5(x+2)`