Question

What is the equation of the line in slope-intercept form that passes through point (4, 5) and is parallel to the line y = −2x − 2?

Answer 1

y = -2x + 13

Explanation:

In order to write an equation of the line in slope-intercept form, we first have to look at the equation:

y = mx + b

We know that m represents slope, and b represents the y-intecept, in other words, what y is equal to when x is equal to zero.

We already have y and x, (4,5), and the slope of the line, since the two lines are parellel, they share the same slope. So now, we have to pulg those values into the equation and solve for b:

(4,5)

y = 5

x = 4

m = -2

y = mx + b

(5) = (-2)(4) + b

5 = -8 + b

13 = b

So, equation of the line in slope-intercept form that passes through point (4, 5), is y = -2x + 13

Remeber that you can always graph to check your work!

I hope this helps! :)