Math Expression: Slope-Intercept Practice

Given that the Slope-Intercept form for an equation of line is:

y = mx + b

Which of the line below (labeled A, B, C and D) is the graph of:

y = x -2

Step 1
To solve this question, we should know that:

m = slope of the line
b = y-intercept of the line

A line will slant upwards to the right for m > 0 and the slants upwards to the left for m < 0.

You can look at the pictures below to understand better.
Step 2

Next, y-intercept is the y-coordinate of the point that the line crosses the y-axis.

The picture on the right will help you to understand this better.
Step 3

With what you have learned in Step 1 and Step 2, we can start to label the slope and y-intercept for all the lines as shown in the picture.

Now, from the given equation:

y = x -2
=> y = 1x -2

We can see that:

slope = m = 1 (hence, m >0)
y-intercept = b = -2

From this, only line C has m > 0 and y-intercept = -2.

Clearly, the answer is C.