The document discusses identifying the slope and y-intercept of a line from its equation. It provides examples of finding the slope and y-intercept for different line equations by rewriting the equations in slope-intercept form as needed. Specifically, it shows identifying the slope as 3 and the y-intercept as 4 for the equation y = 3x + 4, and identifying the slope as -3 and y-intercept as 2 for the equation 3x + y = 2 after rewriting it as y = -3x + 2.

1. Unit 5.6 Slope and y-intercept
y = mx + b

3. Example 1 Identify slope and y-intercept
Identify the slope and y-intercept of the line with the
given equation.
a. y = 3x + 4 b. 3x + y = 2
SOLUTION
a. The equation is in the form y = mx + b. So, the slope
of the line is 3, and the y-intercept is 4.
b. Rewrite the equation in slope-intercept form by
solving for y.
3x + y = 2 Write original equation.
y = – 3x + 2 Subtract 3x from each side.

4. Example 1 Identify slope and y-intercept
ANSWER
The line has a slope of –3 and a y-intercept of 2.

5. W MUP
AR
Identify the slope and y-intercept of the line with the
given equation.
1. y = 5x – 3 ANSWER 5; – 3
2. 3x – 3y = 12 ANSWER 1; – 4
1; 1
– 1
3. x + 4y = 6 ANSWER
4 2