Finding Slope of a Line
Identify the slope of the following equation. y = mx + b
the variable m
When graphing linear equations, where do we begin?
the y-intercept
What is slope intercept form?
y = mx + b
What do you call two fractions like these:
2/3 and 3/2
What does a coordinate pair look like?
(x,y)
Identify the slope of the following equation. y = -x + 3
slope is -1
If the slope of a line is negative, what two directions will you move from the y-intercept?
down and right
In the following linear equation, what is the y-intercept? y = -3/4x
0
What is slope?
Write an equation for a vertical line through the point (-3, 3)
x = -3
Name two ways to find slope.
rise over run (triangle method on a graph)
formula- m= y - y/ x - x
Graph the following equation. Include at least 3 points. y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.
What is the slope of this equation?
x = 5
Undefined Slope
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
Graph the following equation. Include at least three points. y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
What is a y-intercept?
where the line crosses the y axis
Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
slope = -2 y intercept = 20
y = -2x + 20
Graph the line 48x=-6
x=-8, so graph should be a vertical line through -8 on the x axis.
Rewrite the following equation in slope-intercept form. - 7y + 8 = 4(x-5)
y= -4/7x + 4
If two lines are perpendicular, what do you know about their slopes?
negative reciprocals
The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.
y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.