Question

What is a equation in slope intercept form for the line that has a slope -1 that passes through (-4,3)

Answer 1

slope is -1

$m=-1$

we have a point as (-4,3)

we can use slope intercept form of line

$y=mx+b$

we can plug m=-1

$y=-x+b$

now, we can plug point (-4,3)

x=-4 and y=3 and then we can find b

$3=-1*-4+b$

$b=-1$

now, we can plug back

and we get

$y=-x-1$............Answer

Answer 2

Hello!

The only thing we need to find the equation is the y-intercept. We can use this point and slope in the equation to solve for b.

3=-1(-4)+b

3=4+b

b=-1

Therefore, our equation is y= -x-1

I hope this helps!