Question

Charlie graphs the equation y= –12x+2 .

Select all statements about Charlie's graph that are true.




The graph is a straight line.

The line does not pass through the origin.

The line passes through the point (0, –2) .

The slope of the line is 12 .

The y-intercept of the line is 2.

Answer 1

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line). In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you