115k views
0 votes
What is the slope and y intercept of -2x +3y=-9

User Hightower
by
4.6k points

1 Answer

3 votes

Answer:

m = 2/3

b = -3

Explanation:

Rearrange the equation to slope-intercept form (y = mx + b).

x and y are points on the graph.

m is the slope.

b is the y-intercept.

Isolate "y". This means separating it from the other numbers.

-2x +3y = -9

-2x + 2x +3y = -9 + 2x Add 2x to both sides

3y = 2x - 9

3y/3 = 2x/3 - 9/3 Divide both sides by 3

y = 2x/3 - 9/3 Simplify

y = (2/3)x - 3

Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.

m = 2/3

b = -3

User Synthetix
by
5.5k points