Question

Write the equation of the line parallel to the line 4x + y = -1 and passing through the point (5,0).

Answer 1

Write the equation in slope intercept form (y = mx + b) where m is the slope.

Parallel lines have same slope. So, the new equation will be y = mx + d. Since it passes through point 5,0, you can find the value of d.

Answer 2

4x + y = -1
=> y = -4x -1.

So, slope = -4.

New line equation is:
y = -4x + d
Substitute 5,0 for x,y. So, you get:
0 = -4*5 + d
=> d = 20.

So, new line equation is:
y = -4x + 20