Question

The equation of line s is y=–4x–5/3

Line t includes the point (–3,3) and is parallel to line s. What is the equation of line t

Answer 1

y = -4x-9

Explanation:

The slope must stay the same for parallel lines, which is -4. Now we will plug the point into slope-intercept form(y=mx+b) where m is the slope and b is the y-intercept. Plugging in -4 for the slope and (-3, 3) for x and y, we get
`3=-4*13 + b`, or
`3 = 12 + b`. Subtracting 12 from sides gives us that b = -9, which is the y-intercept! We know have both the slope and y-intercept, so we get that the equation is y = -4x - 9.

Hope this helps!