Question

What’s an equation that passes through the ordered pair (3,7)and has a slope of -4

Answer 1

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

`y = mx + b`

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

`m = -4\\(x, y) :( 3,7)`

Then, the equation is of the form:

`y = -4x + b`

We substitute the given point and find "b":

`7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19`

Finally, the equation is of the form:

`y = -4x + 19`

Answer:

`y = -4x + 19`