Write the equation of the line that passes through the point (-1,11) and (4,-4)
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-1, 11)
(4, -4)
x1= -1
x2 = 4
y1 = 11
y2= -4
Write the equationof 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= (-4 -11)/(4 - (-1))
m= (-15)/(4 + 1)
m= (-15)/(5)
m = -3
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 11 = -3( x - (-1))
y - 11 = -3( x + 1)
Final answer:
y - 11 = -3( x + 1)