# Solve 8X+4Y=40 for Y

The equation is y = -2x + 10, which represents a straight line in the Cartesian plane. Step-by-step explanation: We start with the equation 8x + 4y = 40, which is in the standard form Ax + By = C for a linear equation. We want to rearrange this equation to solve for y and obtain the slope-intercept form. First, we can divide both sides of the equation by 4 to get 2x + y = 10. Next, we can isolate y on one side of the equation by subtracting 2x from both sides: 2x + y - 2x = 10 - 2x Simplifying, we have: y = -2x + 10 This is the slope-intercept form of the equation, where the coefficient of x is the slope and the y-intercept is 10. Therefore, the line represented by this equation has a slope of -2 and crosses the y-axis at the point (0, 10).