Question

Where does the line 8x+2y=-10 cross the y-axis

Answer 1

To determine where the line 8x+2y=-10 crosses the y-axis, set x to 0 and solve for y, which gives the y-intercept (0, -5).

Step-by-step explanation:

To find where the line 8x+2y=-10 crosses the y-axis, we need to determine the y-intercept. The y-intercept is the point where the line intersects the y-axis, which occurs when x=0. Substituting x with 0 in the equation gives us 2y=-10. To solve for y, we divide both sides of the equation by 2, resulting in y=-5. Therefore, the line crosses the y-axis at the point (0, -5).

Steps to Find the Y-intercept

1. Substitute x with 0 in the equation 8x+2y=-10.
2. Divide both sides of the equation by 2 to solve for y.
3. The resulting y-value is where the line crosses the y-axis.

Using this method, we can conclude that the y-intercept for the given line is (0, -5).