Finding Slope of a Line
What form do we use to graph a linear equation?
the slope-intercept form y = mx + b
What is 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 three ways to describe slope.
Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b
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.
Rewrite this equation in slope-intercept form. x + y = -12
y = -x - 12
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.
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
Make a table of values with at least 2 ordered pairs for the following equation. y = (1/2)x -5 Then plot the ordered pairs. Draw a line through the points.
Table should list two numbers chosen for x and then solved by multiplying by (1/2) and subtracting 5.
If x is 2 then (1/2)(2) = 1 - 5 then y = -4
If x is 4 then (1/2)(4) = 2 - 5 then y = -3
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
2(2-5)+3 = 2(-3)+3 = -6+3 = -3
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 = 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.