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, [tex]x_1=0, y_1=-4, x_2=1, y_2=0[/tex]
Slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{0-(-4)}{1-0}[/tex]
[tex]$m=\frac{4}{1}[/tex]
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.
