SOLUTION: What is the equations in slope intercept form for the line that contains (1,1) and (3,5)

Question 642766: What is the equations in slope intercept form for the line that contains (1,1) and (3,5)
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
What is the equations in slope intercept form for the line that contains (1,1) and (3,5)

First let us find the slope of the straight line.
(y2 - y1) / (x2 - x1)
= (5 - 1) / (3 - 1)
5 - 1 = 4
3 - 1 = 2
4/2 = 2
The Slope (m) = 2

Now let us fine the slope intercept form:
y - y1 = m(x - x1)
y - 5 = 2(x - 3)
2 * x = 2x
2 * - 3 = -6
Therefore:
y - 5 = 2x - 6
Add 5 to each side of the equation.
y - 5 + 5 = 2x - 6 + 5
Combine like terms:
-5 + 5 = 0
-6 + 5 = -1
Therefore:
y = 2x - 1
Slope = 2
y-intercept = -1

Therefore the slope intercept form
of this line is:
y = 2x - 1

Lennox Obuong
Algebra Student
Email: obuong3@aol.com
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