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

Find The Slope And Yintercept Of The Line In The Graph Express The Answers As Simplified Fractions If Necessary class=

Sagot :

Answer:

Slope: [tex]\frac{7}{5}[/tex]

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:

[tex]s=\frac{yB-yA}{xB-xA}[/tex]

Let's substitute the value:

[tex]slope=\frac{2+5}{0+5}[/tex]

[tex]slope = \frac{7}{5}[/tex]

Answer:

Slope: 7/5

Y-intercept: -5

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