Question

Determine the a) x-intercept and b) y-intercept for the graph of the given equation
3x – 2y = 6
Take your given equation and solve for “y”.
3x – 2y = 6
please show steps thank you

Answer 1

First solve for y.
3x - 2y = 6
-2y = -3x + 6
y = 2/3x - 3
The form is y = mx + b
b = y-intercept.
Therefore, -3 is the y-intercept.
Then plug in 0 for y and solve because that's where the line crosses the x-axis.
0 = 2/3x - 3
3 = 2/3x
9/2 = x

Answer 2

X intercept is when y=0. So plug 0 in for y, and solve for x. You get x=2. So x intercept is (2,0)
Y intercept is when x=0. So plug 0 in for x, and solve for y. You get y= -3. So y intercept is (0,-3)
slope-intercept form of a line:
y=mx+b.
You know b (the y intercept). Now, plug the other known point in for x and y, and you get
0 = 2m-3
solve for m, you get 2/3

Answer 3

thank you

Answer 4

You're welcome.