Question

Write the equation of the line that is parallel to y=-4x+9 that passes through point (15,-2)

Answer 1

y = -4x + 58

Explanation:

Equation of line: y =mx + b

Here, m is the slope and b is the y-intercept.

Parallel lines have same slope.

y = -4x + 9

m = -4

Equation of the required line: y = -4x + b

The line passes through (15, -2). Substitute x and y values and find the value of 'b'.

-2 = -4*15 + b

-2 = -60 + b

-2 + 60 = b

b = 58

Equation of line:

y = -4x + 58