April 28, 2017
Graph using the Intercept Method
Find the slope from 2 points
Learning Goals:
• Graph from the X and Y intercepts.
• Find the slope from 2 points
Yay math!
Warm Up
Write the equation of each line.
y = mx + b
Graph 3x + 4y - 8 = 0 by first changing into y = mx + b form.
April 28, 2017
Label the x and y intercepts.
Steps
Graph using the Intercept Method
1) Find the y-intercept
(If not y = mx + b form, set x = 0)
2) Find the x –intercept (Set y = 0)
3) Plot the intercepts
4) Connect the points
a) 0 = 3x – y – 6
April 28, 2017
Steps
Graph using the Intercept Method
1) Find the y-intercept
(If not y = mx + b form, set x = 0)
2) Find the x –intercept (Set y = 0)
3) Plot the intercepts
4) Connect the points
b) 2x + y – 4 = 0
Find the slope using 2 points
a) Determine the slope of the line whose x-intercept is 5 and y-intercept is 2.
The points are (__, __) and (__, __).
Method 1:
Substitute the points
into the slope formula.
m=
y -y
x -x
2
1
2
1
Method 2: Graph the points.
Draw a rate triangle & read
the rise & run from the graph.
April 28, 2017
Find the slope using 2 points
b) Determine the slope of the line whose x-intercept is -4 and y-intercept is -6,
using the slope formula.
m=
y -y
x -x
2
1
2
1
Homework
Workbook pages 102 – 103,
Questions 1 & 2 (all), 3 – 6 (a, c, d, e), 7, 8