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

Answer 1

Line is y = 4x - 9

this has a slope of 4 (from y = mx + b the slope intercept form).

Infinite parallel lines have same slope, giving y = 4x + n (n any number except -9 which is original line)

Specific parallel line passing through (-2, 4) has equation y = 4x + c, and we substitute point values to find c:

(4) = 4(-2) + c => 4 = -8 + c => c = 12

hence required line is y = 4x + 12