Question

A line passes through the point , (−4,4) and has a slope of −5/4. Write an equation in point-slope form for this line.

Answer 1

y=-5/4x-1

Explanation:

Since we have a point and the slope, we can use the point slope formula

`y-y_(1) =m(x-x_(1))`

m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know the slope is -5/4.

The point (-4,4) compared to (x,y): -4 is the x coordinate, and 4 is the y coordinate

y-4=-5/4(x--4)

y-4=-5/4(x+4)

Now, we need to solve for y, so we can get the equation in point slope form: y=mx+b

Distribute the -5/4

y-4= -5/4*x +4*-5/4

y-4= -5/4x-5

Add 4 to both sides

y-4+4=-5/4x-5+4

y= -5/4x-1

Answer 2

y-4=-5/4(x-(-4))

Explanation:

Slope form is y-y1=m(x-x1)

X1and Y1 are a point on the line and M is the slope