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=(y_2-y_1)/(x_2-x_1)`

`$m=(0-(-4))/(1-0)`

`$m=(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.