Write an equation in point-slope form of the line that passes through the points (-5,-4) and (7,-5).
Mathematics · High School · Wed Jan 13 2021
Answered on
Given the points:
(-5, -4)
(7, -5)
x1= -5
x2 = 7
y1 = -4
y2= -5
Write the equation 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= (- 5 -(-4))/( 7- (-5))
m = (-5 + 4) / 7 + 5
m= -1/12
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-4) = -1/12( x - (-5))
y + 4 = -1/12 (x + 5)
Final answer:
y + 4 = -1/12 (x + 5)