The equation Y-5
5(x-4) is written in point-slope form. What is the y-intercept of the equation?

The y-intercept is -15.

Step-by-step explanation:

y - 5 = 5(x - 4) is our equation in point-slope form.

point slope form is = y - y1 = m( x - x1)

So, we know that the slope is 5 and one point is (4, 5)

We can use this point and the slope to find the y -intercept.

y = mx + b is slope intercept form.

Let's input the values we know to find the y-intercept.

5 = 5(4) + b

5 = 20 + b

-15 = b

The y-intercept is -15.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b