Finding Slope of a Line
Identify the slope of the following equation.
y = mx + b
The variable m
What is slope intercept form?
y = mx + b
What is the slope of the line?
y=x
1
What is a system of equations?
A set of two or more equations that have the same variables.
Identify the slope of the following equation: y = x + 3
The slope is 1
In the following linear equation, what is the y-intercept? y = -3/4x
0
Solve:
3x - 2 = -14
x = -4
Fill in the blank:
When you graph a system of equations, the solution is where the two lines ___________________.
Intersect
Name three ways to describe slope.
Possible answers:
Rate of change
Rise over run
slope = m in y = mx + b
Steepness of a line
Change in y divided by change in x
Rewrite this equation in slope-intercept form:
x + y = -12
y = -x - 12
What is the slope of this equation?
x = 5
Undefined Slope
Multiple choice:
What is the solution to the system of equations below?
y= -6x - 3 and y= -x + 2
a) (-1, 3) c) (1, 3)
b) (3, -1) d) (1, -3)
a) (-1, 3)
Find the slope of the line that includes the following points. (4, -5) (-4, 5). Put your final answer in simplest form.
-5/4
Rewrite the following equation in slope-intercept form: 3x + 6y = -18
y = -1/2x - 3
Graph the following equation. 8x + 4y = 16.
Should be rewritten as y = -2x + 4 and then graphed. See whiteboard.
Multiple choice: What is the solution to the system of equations?
y= 5/2x- 4 and y= -x + 3
a) (1, 2) c) (2, 3)
b) (2, 1) d) (3, 2)
b) (2,1)
Find the slope of the line that includes the following points. (-12, -9) (-3, -3). Put your final answer in simplest form.
-6/-9 = 6/9 = 2/3
2/3 is the final answer.
Rewrite the following equation in slope-intercept form:
3.5x - 7y = -21
y = 0.5x - 3 or y = 1/2x - 3
Find the slope between the two points:
(3, 2) and (2, 2)
0
What is the solution to the system of equations: (graph them)
y= -2/3x -3
y= -2/3 + 4
What is no solution?