Question

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

necessary.

Answer 1

Slope: 7/5

Y-intercept: -5

Answer 2

Slope:
`(7)/(5)`

Y-intercept: -5

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=(yB-yA)/(xB-xA)`

Let's substitute the value:

`slope=(2+5)/(0+5)`

`slope = (7)/(5)`