Question

What is the equation of the line?

Answer 1

First find the slope of the line. Slope is defined as the change in y over the change in x.


`m = (y_2 - y_1)/(x_2 - x_1)`

Find two ordered pairs and plug them into the slope formula.

After looking at the graph, I found two points: (0, 1) and (4, 4)


`(4 - 1)/(4 - 0) = (3)/(4)`

Now find where the line intersects the y-axis.

After looking at the graph, I found out that the line intercepts the y-axis at
(0, 1)

Now build the slope-intercept equation.

General form: y = mx + b
Where m is the slope and b the y-intercept

So, the answer is y = 3/4m + 1