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