Write an equation of the line that passes through the points, (0, 4), (2, 1)
Mathematics · High School · Thu Jan 21 2021
Answered on
Given the points:
(0, 4)
(2, 1)
x1= 0
x2 = 2
y1 = 4
y2= 1
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= (1 - 4)/(2 - 0)
m = -3/2
m= -3/2
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 4 = -3/2 ( x - 0 )
y - 4 = -3/2 x
Final answer:
y - 4 = -3/2 x