Question 642766
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