Question

Find the slope and y-intercept for this table.​

Answer 1

Answer:

See below:

Step-by-step explanation:

To find the slope, we use the following formula:

$\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

For this case, we can use (6,60) as the first set of points.

We can use (4,70) as the second set of points.

Now, we can use the formula, 70-60 is for the top of the fraction (10)

We can do 4-6 to find the bottom, which is (-2)

Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!

To find out the y intercept, it in simple words is "What is y when x is 0?".

We can do that by using the slope intercept formula: $y=mx+b$.

Once we insert our slope which is -2 we get: $y=-2x+b$

We can now substitute a point, lets use (6,60) so we can find out b.

We now get the equation: $60=-5(6)+b$.

If we solve for that we get 90!

Once we input that, we get, $y=-5x+90$

Now we put in x as 0 and we get our y intercept as 90!

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