Answer:
y = 14x
Step-by-step explanation:
Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
First, let's find b.
This is the point on the graph where the line meets the y-axis.
If you look at the graph, you may notice that the line crosses the y-axis at the origin, or (0, 0).
Therefore, b = 0.
Next, we will find m.
This is the slope, or rate of change of the line.
To find the slope, let's choose a random point on the line.
In this case, we'll use the coordinates (2, 28).
x-coordinate: 2
y-coordinate: 28
Now, we'll substitute these coordinates into the slope-intercept equation.
y = mx + b
28 = m2 + 0
(Remember, we found the value of b earlier.)
Solve:
28 = m2 + 0
28 = 2m
/2 /2
14 = m
Therefore, the slope is 14.
Now, let's put it all together:
y = mx + b
y = 14x + 0
y = 14x
Therefore, the equation of the line is y = 14x.
