Finding Slope of a Line
What variable represents the slope in the following equation: y = mx + b
the variable m
What equation is easiest to graph from? (Point slope, slope intercept or standard)
the slope-intercept form y = mx + b
Evaluate:
-2 - 5
-7
What form of equations do we use for lines?
y = mx + b or slope intercept form.
When graphing linear equations, where do we begin?
We begin at the y-intercept.
In the following linear equation, what is the y-intercept? y = -3/4x
0
Solve:
3x - 2 = -14
x = -4
Write an equation for a vertical line through the point (-3, 3)
x = -3
Name one way to describe slope.
Possible answers: rate of change, rise over run, y2 - y1 over x2 - x1, slope = m in y = mx + b
Graph the following equation. Include at least two 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.
Rewrite this equation in slope-intercept form. 2x + y = -12
y = -2x - 12
What are the four kinds of slope? Remember Mr. Slope Man
Positive, negative, zero, undefined
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 =1/2x-2
Graph should begin with a point on the y-axis at -2. From there you should move 1 up and 2 to the right.
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.
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
What kind of slope does the line of this equation have: y= -2/5x+3
Negative
Rewrite the following equation in slope-intercept form. -2x + 6y = -24
y = 1/3x - 24
What is the point slope equation?
y-y1=m(x-x1)
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.