Question

Consider the following y-intercept and slope:(0, 3), m =Step 1 of 2: Find the equation of the line for the y-intercept and slope given above.Step 2 of 2: Determine the graph of the line.

Answer 1

The pattern for the slope-intercept equation is:

`y=mx+b`

where m = slope and b = y-intercept.

Given in the equation is the slope (m) = 5/3 while the y-intercept is at (0, 3). Plugging this into the pattern above, we get:

`y=(5)/(3)x+3`

Therefore, the equation of the line given the slope and y-intercept is y = 5/3x + 3 as shown above.

Since the y-intercept is already plotted in the graph, let's apply the slope (rise 5 and run 3) in the graph. Below is the graph of the equation.