Answer:The slope intercept form of the given linear function is y = 4 x + 1Step-by-step explanation:Let two points A(1,5) and B(2,9) be the points on the given equation.Now, slope of the line AB is given as [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\implies m = \frac{9 -5}{2-1} = 4[/tex]So, the SLOPE of the line AB = 4Now, by POINT SLOPE formula, The equation of line with (x0,y0) and slope m is given as (y-y0) = m (x-x0)So,here the equation with m = 5 and point (1,5) is given as:y - 5 = 4(x - 1)or, y - 4x = 1So, the SLOPE INTERCEPT form of the equation is y = m x + C or, y = 4 x + 1 , slope = 4, intercept = 1Hence, the slope intercept form of the given equation s y = 4x + 1