16,696 views
17 votes
17 votes
What is an equation of the line that passes through the points (8,0) and (3,-5)?

User Andrew Carreiro
by
2.8k points

1 Answer

21 votes
21 votes

Answer:

y = x - 8

Explanation:

You want an equation for the line through the points (8, 0) and (3, -5).

Slope

The slope of the line can be found using the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-5 -0)/(3 -8) = -5/-5 = 1

Intercept

The y-intercept can be found from the equation ...

b = y1 -m(x1)

b = 0 -1(8) = -8

Slope-intercept equation

The slope-intercept equation of the line is ...

y = mx +b

y = 1·x +(-8)

y = x -8 . . . . . an equation for the line

<95141404393>

User Peter Wortmann
by
3.1k points