Slope-intercept and y-intercept

Question

For the equation given below, complete parts a and b.

5x + 8y=40

a. Rewrite the given equation in slope-intercept form by solving for y.

b. Give the slope and y-intercept and use the slope and y-intercept to graph the linear function

Answer 1

5x + 8y = 40

8y = -5x +40

y = -5x/8 + 40/8

y = (-5/8)x + 5 is the equation in slope intercept form, with -5/8=slope and 5= y intercept

graphically it's a straight line with dowward slope = -5/8 through the point (0,5)

x intercept = (8,0)

plot those two points and connect them with a straight line. Extend the line segment in both directions, and put an arrow on them to indicate the line goes forever in both directions

Answer 2

5x+8y=40 so 8y=40-5x. This means y=(40/8)-(5/8)x so y=- (5/8)x +5.

Slope:-5/8, y-intercept: +5.