Question

If one point on a line is (6,-5) and the line's slope is - 8, find the y-intercept.

Answer 1

The y-intercept of the line with slope -8 that passes through the point (6, -5) is 43, calculated by substituting the point and slope into the slope-intercept equation and solving for b.

Step-by-step explanation:

To find the y-intercept of a line given a point on the line (6, -5) and the slope -8, you can use the slope-intercept form of the linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope (m = -8) and a point (x = 6, y = -5) on the line, we can substitute these values into the equation and solve for b.

Substituting the given values:

-5 = (-8)(6) + b

-5 = -48 + b

Add 48 to both sides:

b = 43

Therefore, the y-intercept of the line is 43.

Answer 2

Answer: 43

Step-by-step explanation:

use point slope from

y-y1 = m(x-x1)

slope = m = -8

point = (x1,y1) = (6,-5)

so plug it in

y+5 = -8(x-6)

find the y intercept just means x = 0, so plug it in

y+5 = -8(0-6)

y = -8(-6)-5

y=43