Question

Which of the following equations matches the graph above?

Answer 1

Option C:

The equation which matches the graph above is y = 4x - 4.

Solution:

Take any two points on the graph of the line.

Let the points are (0, -4) and (1, 0).

Here, $x_1=0, y_1=-4, x_2=1, y_2=0$

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{0-(-4)}{1-0}$

$m=\frac{4}{1}$

m = 4

y-intercept of the line is the point where the line crosses at y-axis.

Here, the line crosses at y-axis is (0, -4).

y-intercept, (c) = -4

Equation of a line is

y = mx + c

y = 4x + (-4)

y = 4x - 4

The equation which matches the graph above is y = 4x - 4.

Option C is the correct answer.