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:

$y = -4x + 19$