30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the points:
(-3, 1)
(3, -3)
x1= -3
x2 = 3
y1 = 1
y2= -3
Determine the slope of the line and the equation of the line.
The equation of the line can be written in point-slope
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= (-3 -1)/(3 - (-3))
m= (-3 -1)/(3 + 3)
m= (-4)/(6)
m= -⅔
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 1 = -⅔ ( x - (-3))
y - 1 = -⅔ ( x + 3)
Final answer:
Equation of the line: y - 1 = -⅔ ( x + 3)
Slope of the line = -⅔