Question

write the slope - intercept form of the equation of the line passing through the point (-6,-2) and parallel to the line y=4x-1

Answer 1

y = 4x - 1
the slope here is 4.
A parallel line will have the same slope.

Now we will use y = mx + b
slope(m) = 4
(-6,-2)...x = -6 and y = -2
now we sub, and since we already know the slope(m), we need to find the y intercept (b).
-2 = 4(-6) + b
-2 = -24 + b
-2 + 24 = b
22 = b

so your equation in slope intercept form is : y = 4x + 22