Question

(-4, 12) and (-7, -3) write an equation of the line in slope intercept form that passes through the points.

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Answer 1

The equation in slope-intercept form is:
`y=5x+32`

Explanation:

To calculate the slope,
`m`, we use the formula
`(y_(2) -y_(1))/(x_(2)-x_(1) )` where
`y` are the
`y`-values of the points and
`x` are the
`x`-values.

Pugging our numbers into the formula, we get
`((-3)-12)/(-7-(-4))`. This simplifies to 5.

To calculate the
`y`-intercept, we first substitute one of our points into the formula. Substituting -4 and 12, we get
`12=5(-4)+b`.

Then we can solve for
`b`.

`12=5(-4)+b`

`12=-20+b`

`32=b`

So, our slope is 32.

We can then plug these values into the slope-intercept form
`y=mx+b`