Find the exponential equation that passes through each pair of points.show your work. (-1,-2)and (3,-162)
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the points:
(-1, -2)
(3, -162)
x1= -1
x2 = 3
y1 = -2
y2= -162
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= (-162 -(-2))/(3 - (-1))
m= (-162 + 2 )/(3 + 1)
m= (-160 )/(4)
m= -40
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-2) = -40 ( x - (-1))
y + 2 = -40 ( x + 1 )
Final answer:
y + 2 = -40 ( x + 1 )