Write an equation of the line below.

Answer (assuming it can be in slope-intercept form):

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

So, the slope is .

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the format. The number in place of represents the slope, so substitute in its place. The number in place of represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3