Write an equation for the line that passes through (1, 4) and (0, 8)

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the points:

(1, 4)

(0, 8)

x1= 1

x2 = 0

y1 = 4

y2= -8

Write the equation of the line.

The equation of the line can be written in point-slope form:

Point-slope form:

y - y1 =m(x -x1)

Solution:

Before we can write in point-slope form, we must first find the slope of the line, we can find the slope by using the slope formula.

m = y2 -y1 /x2 -x1

m= (8 -4)/(0 - 1)

m = 4/-1

m= -4

Substitute the given values of x1, m and y1 to the formula for the point-slope form.

y - 4 = 4(x -1)

Final answer:

y - 4 = 4(x -1)