Question

Write an equation in slope-intercept form for the line parallel to y= 9x+2 that passes through the point (-2,8). Show your work. Thank you :)

Answer 1

Answer: y=9x + 26

Step-by-step explanation:

Notice that for two lines to be parallel they must have the same slopes but different y intercept.

So the equation y =9x + 2 has a slope of 9 and y-intercept of 2  so using the points  we can determine  the y intercept of the line parallel to it to find the.

Using the slope intercept form formula which is y = mx + b  we can plot in the slope and the given coordinates to solve for b.

The coordinate is (-2,8)  which the y value is 8 and the x value is -2

so  8 = 9(-2) +b    solve for b

  8 = -18  + b

 +18   +18

b = 26  

The y intercept is 26  so the equation will be y=9x + 26