Question

An equation of the line that passes through the point (–4, 6) with slope –4.

Answer 1

y = –4x–10

Explanation:

First write the equation of a straight line: y=mx+c

Using the coordinate given, x = –4 and y = 6. m = –4.

Substitute these values into the equation and solve for c.

6 = (–4×–4) + c

6 = 16 + c

subtract 16 from both sides

–10 = c

now write the full equation using c.

y = –4x+–10

simplify

y = –4x–10