A line is parallel to y=4x+1 and intersects the point (-2, -5). What is the equation of this parallel line?

Answer 1

Parallel lines have the same slope.

What is the slope of y = 4x + 1?

Use point-slope form.

Answer 2

Point Slope Form is y-y₁ = m(x - x₁) where (x₁,y₁) is a point on the line.

So,

y + 5 = 4(x + 2) would be the equation of a line parallel through the point (-2,-5). (parallel lines have the same slope)

If needed in slope-intercept form, isolate the variable "y". (y = mx + b)