Question

What is the equation of a line that has the same slope as y=7-2x and the same y-intercept as y=-7x-5

Answer 1

Answer:

Hello!

First you will want to get both of equations into slope-intercept form.  That way, you can easily determine the y-intercept of the first equation and the slope of the second equation.  

When 2 lines have the same slope, that means they will be parallel.

y+4x-10=0 ; add 10 to each side

y+4x=10 ; subtract 4x from each side

y = -4x + 10 ; y-intercept = 10

1x + 7y = 6 ; subtract 1x from each side

7y = -1x + 6 ; divide both sides by 7

y = -1/7 x + 6/7 ;  slope = -1/7

So, a line with the same y-intercept as the first, and same slope (parallel) as the second would have the equation:

y = -1/7x + 10

Step-by-step explanation: