Find the equation of this line.

Simplify the fractions

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x=0).

First, we must find the slope (m).

where two points that fall on the line are and

Two points that are highlighted for us on the graph are (-3,-2) and (5,4). Plug these into the equation:

Therefore, the slope of the line is 3/4. Plug this into :

Now, to find the y-intercept (b), our first resort would be to find it on the graph. However, on the graph, it appears ambiguous. So, we must solve it algebraically.

Plug in the point (5,4) and solve for b:

Therefore, the y-intercept is . Plug this back into :

I hope this helps!

c

step-by-step explanation: