Write an equation of each line that passes through the given points (0, -6) , (3, 9) 1) Y=3x-6 2) Y=-6x+3 3) Y=5x-6 4) Y=-6x+5
Mathematics · College · Mon Jan 18 2021
Answered on
Given the points:
(0, -6)
(3, 9)
x1= 0
x2 = 3
y1 = -6
y2= 9
Write the equation in slope-ntercept form.
Before writing in slope-intercept form, we must first write in point-slope form.
Point-slope form:
y - y1 =m(x -x1)
Slope-intercept form:
y = mx + b
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= (9 - (-6))/(3 - 0)
m = (9 + 6)/3
m = 15/3
m= 5
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-6) = 5( x -0)
y + 6 = 5x
In order to change to slope-intercept form, simply transpose 6 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
y = 5x - 6
Final answer:
y = 5x - 6