write an equation in slope intercept form of the line with a slope of -3/4 containing (8,2)

Answer 1

Slope intercept form looks like this:

y=mx+b

where m=slope and b=y intercept.

So for this question we can immediately fill in the slope, as it is given: y=-3/4x+b

The next step is finding the y-intercept. To do this you can either sketch a graph or solve it algebraically.

To solve, you are going to plug the y-coordinate and x-coordinates into your equation and solve for b.

(2)=-3/4(8)+b

2=-6+b

8=b

So your final equation is: y=-3/4x+8

Answer 2

Slope intercept form:

where m = slope and

b = y-intercept

point is (x,y) given as (8,2)

y = mx + b plug in point

2 = -3/4(8) + b (simplify)

2 = -6 + b (add 6 to other side)

b = 8

Now rewrite the equation with m and b value in the equation.

y= -3/4 x + 8