Slope-intercept form for (-3,-3) (1,2)

Given the points:

(-3, -3)

(1, 2)

x1= -3

x2 = 1

y1 = -3

y2= 2

Write the equation in slope-intercept form.

Before writing the equation in slope-intercept form, we must first equate 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= (2 - (-3))/(1 - (-3))

m = ( 2 + 3) / ( 1 + 3 )

m = 5/4

Substitute the given values of x1, m and y1 to the formula for the point-slope form.

y - (-3) = 5/4( x - (-3))

y + 3 = 5/4 (x + 3)

To change in slope-intercept form, we simply need to distribute 5/4 to each value inside the parenthesis, and then transpose 3 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

y +3 = 5/4x + 15/4

y = 5/4x + 15/4 - 12/4

y = 5/4x + ¾

Final answer:

y = 5/4x + ¾