Question

Which of the following equations represent the given graph?

• A. y = 2x + 4
• B. y = 4x + 2
• C. y = 2x + 2
• D. y = 4x + 4

Answer 1

The correct option is D y = 4x + 4


From the graph, we observe:

$\text{Slope}=\frac{\text{Positive rise}}{\text{Positive run}}=\frac{16}{4}=4$

Value of y-intercept = 4

∴ Slope (m) = 4 and c = 4.

The graph is a straight line, so it can be written in slope-intercept form.

We know, equation for the slope intercept form is y = mx + c

Substituting the values of "m" and "c" in y = mx + c, we get:

$y=4x+4$