The answer is B, or y = 9/2x + 5. The equation for slope-intercept form is y= mx + b. m = the slope and b = the y-intercept. The first step into converting any equation to slope-intercept form is to finding the slope. To find the slope, we will take the two points (2, 14) and (8, 41) to use for our equation. To get the slope, subtract y2 - y1/x2 - x1. In this equation, y2 = 41, y1 = 14, x2 = 8, and x1 = 2. So, 41 - 14/8 - 2 = 27/6. Simplifying this fraction, you should now have 9/2. The slope of the line is 9/2, m = 9/2. Now, we find the y-intercept, or b. The y-intercept is always (0, y) because when the x value is always 0, the point is on the y-axis, making it the y-intercept. to find the y-intercept, the equation is b = y2 - (m * x2). In this equation, b = 41 - (9/2 * 8). Using pemdas, first simplify inside of the parentheses. converting 9/2 into a decimal by dividing 9 by 2, you get 4.5. 4.5 multiplied by 8 = 36. Lastly, subtracting 41 - 36, you get b = 5. Therefore, the equation in slope-intercept form is y = 9/2x + 5.
