Question

Write an equation of the line that passes through (1,2) and is parallel to the line y=- 5x + 4 .

y=

Answer 1

`y = -5x + 7`

Explanation:

Step 1: Determine important aspects of the question

So we know that we are going to be parallel to a line with a slope of -5 which means that our slope is going to be exactly the same. We also know that our line will pass through the point (1, 2) so we can use the point-slope formula to get our answer.

Point Slope Form →
`(y-y_1)=m(x-x_1)`

Step 2: Plug in the values

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

`y-2 = -5x + 5`

`y - 2 + 2 = -5x + 5 + 2`

`y = -5x + 7`

Answer:
`y = -5x + 7`