Answer:
y = 4x + 4
Step-by-step explanation:
The equations in the options are all in the slope-intercept form, y = mx + c. In this form, m is the slope while c is the y-intercept.
The slope of a line can be found using the formula below:
In the formula, is the first point and is the second point on the graph.
Let's identify the two points in the graph which we can use to calculate the slope.
The 2 given points are: (-2 , -4) and (0 , 4)
Substituting the 2 pairs of coordinates into the slope formula:
Slope
= 4
Substitute the value of the slope into m:
y = 4x + c
The y-intercept, c, is the y value in which the line cuts through the y-axis (vertical axis). It is also the y-coordinate of the point when the x = 0.
In this question, we are given the point (0 , 4) which is also the y-intercept.
Substitute c = 4 into the equation:
y = 4x + 4
Thus, the equation shown in the graph is y = 4x + 4.
To learn more about equation of line, check out: brainly.com/question/11507954