Question

Find the equation of the line parallel to y = -3x + 4 with a y-intercept of -10

Answer 1

The correct answer is y=-3x-10

when a line is parallel to another line that means the slip of the lines are going to be the same and since the y-intercept of the other line was given to you, you would just put them together in one equation.

Answer 2

y=-3x-10

Explanation:

Hi there!

We need to find the equation of the line parallel to y=-3x+4 that has the y intercept of -10 (the point (0, -10))

Parallel lines have the same slope

The slope of y=-3x+4 is -3 (it is in the placement of where m (slope) is in y=mx+b)

So the slope of the new line parallel to y=-3x+4 is also -3

Here is the equation of that line so far:

y=-3x+b

b is a placeholder for the y intercept

However, we are given the y intercept as -10, so substitute -10 as b into the equation

y=-3x-10

There's the equation of the line parallel to y=-3x+4 with a y intercept of -10

Hope this helps!