which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)

Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.y = mx + by = 3x + b-4 = 3(9) + bNow, we can simplify by computing the multiplication on the right side of the equation.-4 = 27 + bFinally, we can find the value for b by subtracting 27 from both sides of the equation to get:-31 = bNow, we should substitute this value for b back into our equation with the slope.y = 3x - 31Therefore, your answer is y = 3x - 31. Hope this helps!