What is the equation of this graphed line (-6,-3) (6,-7)
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-6, -3)
(6, -7)
x1= -6
x2 = 6
y1 = -3
y2= -7
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= (-7 -(-3))/(6 - (-6))
m= (-7 + 3)/(6 + 6)
m= (-4)/12
m = ⅓
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-3) = ⅓ ( x - (-6) )
y + 3 = ⅓ ( x + 6 )
Final answer:
y + 3 = ⅓ ( x + 6 )