Question

Find the slope and y-intercept of the line in the graph. Express the answers as simplified fractions, if
necessary.

Answer 1

Answer:

Slope: $\frac{7}{5}$

Y-intercept: -5

Step-by-step explanation:

If the equation of the line is not given but is graphed we can do in this way:

First, it's very simple to find the y-intercept: is -5 as you can see (the line touch the points -5 in the y line).

You know that the slope can be find by having two points (now we have the A(0; -5) (the y-intercept point).

As you can see, the line touch also the B(5; 2) perfectly.

Now we simply use this formula for find the slope:

$s=\frac{yB-yA}{xB-xA}$

Let's substitute the value:

$slope=\frac{2+5}{0+5}$

$slope = \frac{7}{5}$

Answer 2

Answer:

Slope: 7/5

Y-intercept: -5