How do you find the slope and y intercept and graph #2x+3y=-6#?
2 Answers
Answer
Slope:
y-intercept:
Explanation
There are two simple ways to solve this problem:
1) Algebra
2) Graphing
Let's look at both
1) We can turn the question into the slope-intercept
We have to solve for
We need
Now, we just have to divide by
So in
2) We can also graph this function and observe.
graph{-2/3x-2 [-10, 10, -5, 5]}
As you can see, the line intersects the y-axis at
Solve
Subtract
Divide both sides by 3.
Determine two points on the line.
If
Point =
If
Point =
Plot the points and draw a straight line through the two points.
graph{y=-2/3x-2 [-14.24, 14.23, -7.12, 7.12]}