Question

A line passes through the point (-4, 7) and has a slope of -4.
Write an equation in slope-intercept form for this line.

Answer 1

Answer:

y= -4x-9

Step-by-step explanation:

We just need to find the y-intercept, b. Recall that y-intercept form is y=mx+b. Plug in what we have. y=-4, m=-4, x=-4. 7=-4(-4)+b. 7=16+b -9=b now rewrite the equation with b now. y=-4x-9

Answer 2

Answer:

y = - 4x - 9

Step-by-step explanation:

Line is passing through the point $(-4,\: 7)= (x_1, \: y_1)$ and has slope m = - 4.

Equation of line in slope point form is given as:

$(y-y_1) = m (x-x_1) \\

\therefore (y-7) = - 4\{x-(-4)\}\\

\therefore y - 7 = - 4(x + 4)\\

\therefore y = - 4x - 16+7\\

\huge \red {\boxed {\therefore y = - 4x - 9}}$

This is the equation of line in slope-intercept form.