Answer:[tex]y = -\frac{1}{4}x[/tex]Step-by-step explanation:1. The slope-intercept form of a linear equation is [tex]y = mx + b[/tex], where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{10-0}{-40-0}[/tex] [tex]\frac{10}{-40}[/tex] [tex]-\frac{1}{4}[/tex] 3. Since we now know our slope, the equation looks like this so far: [tex]y = -\frac{1}{4}x + b[/tex]. 4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0). 5. Now that we have the values of m and b, we plug in them to get the equation of: [tex]y=-\frac{1}{4}x[/tex]