(3,-7) and (9,-5) What is the equation
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
(3, -7)
(9, -5)
x1 = 3
x2 = 9
y1= -7
y2 = -5
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= (-5 - (-7))/ ( 9 - 3 )
m = -5 + 7/ 6
m = 2/6
m = ⅓
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-7) = ⅓ ( x - 3)
y + 7 = ⅓ (x - 3)
Final answer:
y + 7 = ⅓ (x - 3)