What is the equation of the line in slope-intercept form?

Answer:y = 8x + 0 or y = 8xStep-by-step explanation:Given the graph of a positive-sloped line passing through the point of origin:In order to determine the linear equation in slope-intercept form, y = mx + b, we must solve for the slope of the line. Let's use the following points on the graph:(x₁, y₁) = (0, 0)(x₂, y₂) = (2, 16)Substitute these values into the following slope formula:m = (y₂ - y₁)/(x₂ - x₁)m = (16 - 0)/(2 - 0) m = 16/2 m = 8Thus, the slope of the line is m = 8. Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis. The line crosses at the point of origin, (0, 0), which means that the y-intercept, b = 0. Therefore, the linear equation in slope-intercept form is: y = 8x + 0 or y = 8x.