Write an equation of each line that passes through the following points in slope-intercept form: M (5, 5) and N (–10, –19)Help me Please!!!!!

Answer:[tex]\large\boxed{y=\dfrac{8}{5}x-3}[/tex]Step-by-step explanation:The slope-intercept form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptThe formula of a slope:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]We have the points M(5, 5) and N(-10, -19). Substitute:[tex]m=\dfrac{-19-5}{-10-5}=\dfrac{-24}{-15}=\dfrac{8}{5}[/tex]We have the equation:[tex]y=\dfrac{8}{5}x+b[/tex]Put the coordinates of the point M to the equation:[tex]5=\dfrac{8}{5}(5)+b[/tex][tex]5=8+b[/tex]        subtract 8 from both sides[tex]-3=b\to b=-3[/tex]Finally we have the equation:[tex]y=\dfrac{8}{5}x-3[/tex]