The graph of 8y-2x=-10 has what x intercept & y intercept?
Set x = 0 and solve for y.
Set y = 0 and solve for x.
8y-0=-10
8y=-10
y= -5/4
-2x=-10
x=5
THANKS
To find the x-intercept and y-intercept of a graph, we need to understand their definitions.
- The x-intercept is the point on the graph where the line intersects the x-axis. This means that the y-coordinate of the point is zero.
- The y-intercept is the point on the graph where the line intersects the y-axis. This means that the x-coordinate of the point is zero.
Now let's find the x-intercept:
To find the x-intercept, we set y to zero in the equation and solve for x:
8y - 2x = -10
Substituting y = 0:
8(0) - 2x = -10
0 - 2x = -10
-2x = -10
Divide both sides by -2:
x = 5
So the x-intercept is (5,0).
Now let's find the y-intercept:
To find the y-intercept, we set x to zero in the equation and solve for y:
8y - 2x = -10
Substituting x = 0:
8y - 2(0) = -10
8y - 0 = -10
8y = -10
Divide both sides by 8:
y = -10/8
y = -5/4
So the y-intercept is (0, -5/4).