Find the equation for the linear function that passes through the points (-4,-2)and(4,0)Answers must use whole numbers and/or fractions, not decimals
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-4, -2)
(4, -0)
x1= -4
x2 = 4
y1 = -2
y2= 0
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= (0 -(-2))/(4- (-4))
m =(2) /(4 + 4)
m = 2/8
m = ¼
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-2) = ¼ ( x --(-4))
y + 2 = ¼ ( x + 4)
Final answer:
y + 2 = ¼ ( x + 4)