Question

Write an equation in point slope form that passed through the point (5,6) and slope of -2

Answer 1

y - 6 = -2(x - 5).

Explanation:

Point slope form:

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

Here m = -2, x1 = 5 and y1 = 6, so we have:

y - 6 = -2(x - 5).

Answer 2

y=-2x+16

Explanation:

since you are given the slope, you can plug it into the equation y=mx+b where m= slope and b= y intercept

you now have y=-2x+b

to find b, you have to plug in the coordinate you are given into the equation

6=-2(5)+b and solve for b

6=-10+b

b=16

since you now have both the slope & y intercept, you can plug them both back into the original equation, y=mx+b and you get

y=-2x+16

if you have any questions, feel free to ask :)