Find the slope and the y-intercept of the line with equation 9x + 10y = 91.

y=mx+b

M is also slope. b = y-intercept

9x + 10y = 91

move 9x to the other side

sign changes from + 9x to - 9x

9x-9x+10y=-9x+91

10y=-9x+91

Divide both sides by 10 to get y by itself

10y/10=-9/10x+91/10

y=-9/10x+91/10

y-intercept (x=0)

9x + 10y = 91

9 (0) + 10y=91

0+10y=91

10y=91

Divide both sides by 10

10y/10=91/10

y=91/10

Answer:

slope (m) = -9/10

y-intercept : (0, 91/10)