1. Notes on Slope-Intercept Form
Essential Question: What does the slope of a line indicate about the line?
Benchmark: “The student will be able to…” Determine the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the line.
Learning Goal: “The student will be able to understand…” Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.
Learning Activity: “We will learn this by…”
Notes on Slope-Intercept Form

2. Slope-Intercept Form is an equation written in the form:
Notes on Slope-Intercept Form
Slope-Intercept Form is an equation written in the form:
y = mx + b
m = slope and b = y-intercept.
y = 2x + 7
y = ½x - 4
Write an equation of the line with a slope of 4 and y-intercept of -2.
m = 2
m = ½
y = 4x – 2
b = 7
b = -4

3. Write an equation of the line shown in the graph.
Y2 – Y1
m =
X2 – X1
(0,3)
b = 3
3 – (1)
m =
0 – 2
(2,-1) 4
m = or -2 -2
y = mx + b
y = -2x + 3

4. Write in Slope-Intercept form and identify the slope and y-int
Steps:
(3,-4)
(-1,4) x1 y1 x2 y2
1st – Calculate the slope
2nd – Plug in either point to get the value of “b”
Y2 – Y1
y = mx + b
m =
X2 – X1
y = -2x + 2
y = -2x + b
4 – (-4)
m =
-1 – 3
-4 = -2(3) + b
4 + 4
m =
-4 = -6 + b
-1 + (-3) 8
2 = b
m =
= -2 -4

5. Write in Slope-Intercept form and identify the slope and y-int
Steps:
(5,1)
(-1,-5) x1 y1 x2 y2
1st – Calculate the slope
2nd – Plug in either point to get the value of “b”
Y2 – Y1
y = mx + b
m =
X2 – X1
y = x + 4
y = x + b
-5 – 1
m =
-1 – 5
5 = 1 + b
-5 + (-1)
m =
-1 + (-5)
4 = b -6
m =
= 1 -6

6. Graph 5x - 3y = 6 y = mx + b 5x – 3y = 6 -5x -5x -3y = -5x + 6 -3 -3
(3,3)
-5x x
-3y = -5x + 6
(0,-2) 5
y = x - 2 3

7. Write in Slope-Intercept form and identify the slope and y-int
y = mx + b
y = mx + b
y = mx + b
2x + y = 3
6x + 3y = -9
12x – 3y = 6
-2x x
-6x x
-12x x
y = -2x + 3
3y = -6x - 9
-3y = -12x + 6
m = 2
b = 3
y = -2x - 9
y = 4x - 2
m = -2
m = 4
b = -9
b = -2