Question

. Find a line parallel to y=4x +12, and passes through (-8, 18).

Answer 1

The equation of the line is y=4x-54.

To get the slope of the line parallel to the provided equation, which is necessary to solve this issue. In order to get the equation's slope, we must first transform the equation into slope-intercept form. Now that the parallel lines are equal in slope, both will be equal in slope.

The slope of parallel lines is the same. In the formula for the slope-intercept, y = mx + b, variable m stands for the slope and variable b for the y-intercept.

The slope of the equation y = 4 x +12 is 4. Consequently, any parallel line's slope will also equal 4.

Next, get the y-intercept of the new line by substituting the x and y coordinates for the given point (-8,18):

y=mx+b

y=4x+b

18=4×18+b

18=72+b

-54=b

Thus the equation of the new line is y=4x-54

To learn more about slope refer the link:

brainly.com/question/14511992

#SPJ9