Question

Write the equation of a line in a slope intercept form that is parallel to y= 3x and has a y-intercept of (0, -1)

Answer 1

The slope intercept form of a line is:

$y=mx+b$

Where

m is the slope

b is the y-intercept (y-axis cutting point)

Now,

we want line parallel to y = 3x (line).

THis line has slope of "3".

We know parallel lines have equal slopes.

So, our line will have:

Slope = 3

Now, the y intercept is given as -1. So that is b.

So,

b = -1

Thus,

The equation of our line is:

$y=3x-1$