How do you write y-5 =3(x-4) in slope-intercept form?A. y = 2x - 4B. y = 3x - 7C. y = 2x - 17D. y = -3x + 7

Answer:B. y = 3x - 7Step-by-step explanation:The slope-intercept form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptWe have the equation in the point-slope form.Convert to the slope-intercept form:[tex]y-5=3(x-4)[/tex]      use the distributive property:  a(b + c) = ab + ac[tex]y-5=(3)(x)+(3)(-4)[/tex][tex]y-5=3x-12[/tex]         add 5 to btoh sides[tex]y-5+5=3x-12+5[/tex][tex]y=3x-7[/tex]