Question

Identify the slope and y-intercept of equation y= 3x-10

Answer 1

To answer this question, we need to remember that the slope-intercept form of the line is given by:

$y=mx+b$

Where

• m is the slope of line

,

• b is the y-intercept of the line, that is, the point where the line passes through the y-axis. At this point, x = 0.

Since we can see that the given equation is in slope-intercept form:

$y=3x-10$

We can see that the slope of the line is:

$m=3$

And the y-intercept is:

$\begin{gathered} b=-10 \\ (0,-10) \end{gathered}$

In summary, we have that

• The slope of the line is m = 3.

,

• The y-intercept of the line is (0, -10)