Question 57049: find the coordinates for the y intercept and the b intercept.
12. 4y - 2 = 6x
for each equation, find the intercepts. then use the intercepts to graph the equation.
19. 2y - 2 = 6x
36. y = -4 - 4x
graph.
51. 3y = -5
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! find the coordinates for the y intercept and the b intercept.
12. 4y - 2 = 6x
To find the y-intercept, let x=0 and solve for y
4y - 2 = 6x
4y-2=6(0)
4y-2=0
4y=2
y=1/2
y-intercept (0, 1/2)
.
To find the b-intercept (the y-intercept)use the slope-intercept format (y=mx+b)]
.
4y-2=6x [solve for y]
4y=6x+2
y=6/4x+2/4
y=3/2x+1/2
The b-intercept (y-intercept)=1/2
.
To find the x-intercept, let y=0 and solve for x
4(0)-2=6x
-2=6x
-1/3=x
x-intercept (-1/3, 0)
.
.
for each equation, find the intercepts. then use the intercepts to graph the equation.
19. 2y - 2 = 6x
x-intercept, let y=0 and solve for y
2y-2=6x
2(0)-2=6x
-2=6x
-2/6=x
-1/3=x (x-intercept is (-1/3, 0) Plot this point on the graph.
.
y-intercept: let x=0 and solve for y:
2y-2=6x
2y-2=6(0)
2y-2=0
2y=2
y=2/2
y=1 (y-intercept is (0, 1) Plot this point on the graph.
.
.
36. y = -4 - 4x
y=intercept: (0, -4) Plot this point on the graph.
x=intercept: (-1, 0) Plot this point on the graph.
.
.
51. Graph
3y = -5 [Re-write in the slope-intercept formate (y=mx+b)]
3y=-5
y=-5/3 [The graph will be a straight line that crosses the y-axis at (-5/3)
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