Question

Question 5

Given the values in table, write the equation for the line in slope-intercept form.
X
5
-5
-25
y
-4
-6
3
-10

Answer 1

y = 1/5x -5

Explanation:

Slope intercept form is y=mx + b where m is the slope and bb is the intercept. Let's find the slope first. This is rise over run, so we take the difference of two points' y-coordinates and divide it by the x-coordinates' difference.

This gives us
`(-4--6)/(5--5)`, or
`2/10`, which simplifies to
`1/5`. This is our slope. Now we have y = 1/5x + b. We now plug in a point to this equation to get b. Plugging in (-25, -10) gives us
`-10 = 1/5*-25 + b`, or
`-10 = -5 + b`. From this we get that b = -5. So, our equation is y = 1/5x -5

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