Write the slope-intercept form of the equation form of the equation of the line described. – Show Work

Question

Through: (0, 5), parallel to y = 2x + 1

Answer 1

Hello, thank you for taking the time to post your question!

The underlying equation that you want to use here is y =mx + b, the slope-intercept form of a linear equation

For this scenario, we have a line that is parallel to y=2x+1 and passes through the point (0,5).

Parallel lines have the same slope, so the slope of your new line is m=2 ... and since the line passes through the point (0,5), the y-intercept is b=5.

Meaning that our finalized slope-intercept form here is y=2x+5

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Parallel lines have equal slopes, so

m = 2

y = 2x + b

Find b from the given point.

5 = 2(0) + b

b = 5

y = 2x + 5