Question

(-2, -6 and has a slope of 1/4?
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Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

`m = \frac {1} {4}`

Then, the equation is of the form:

`y = \frac {1} {4} x + b`

We substitute the point
`(x, y): (- 2, -6)` and find "b":

`-6 = \frac {1} {4} (- 2) + b\\-6 = - \frac {1} {2} + b\\-6+ \frac {1} {2} = b\\b = \frac {-12 + 1} {2}\\b = - \frac {11} {2}`

Finally, the equation is:

`y = \frac {1} {4} x- \frac {11} {2}`

ANswer:

`y = \frac {1} {4} x- \frac {11} {2}`