Answer:
m = [tex]\frac{2}{3}[/tex] , b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2
Answer:
y- intercept is (0, -2)
slope is 2/3
Step-by-step explanation:
find 2 points on the line:
2x-3y=6
1/2*(6+3y) =x
if y is 2, x is 6 ((6,2))
if y is 4, x is 9 ((9, 4))
y-intercept is when x = 0.
0-3y=6
y=-2
slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:
x2 = 9
x1 = 6
y1 = 2
then plug in and solve.
(4-2)/(9-6)
= 2/3
m = 2/3
Hope this helps!
