Respuesta :

apologiabiology
pareallell lines have same slope
y=mx+b, m=slope
y=3x-8 so we need
y=3x+b
find b

so given (4,-5)
we can subsitute the point
(x,y)
(4,-5)
x=4 then y=-5

so
-5=3(4)+b
-5=12+b
-17=b


y=3x-17 is equation
D is answer
fichoh

The equation of the line which is parallel to the y = 3x - 8 and passes through the point (4, - 5) is y = 3x - 17

The general form a slope - intercept equation :

  • y = bx + c ; b = slope ; c = intercept

Since both lines are parallel, then the slope is the same ; Hence, b = 3

The points (4, - 5) ;

  • x = 4 ; y = - 5

Substitute into the equation to obtain the value of the intercept, c :

-5 = 3(4) + c

-5 = 12 + c

-5 - 12 = c

c = - 17

Therefore, the equation becomes y = 3x - 17

Learn more :https://brainly.com/question/18405415

Otras preguntas