Finding Slope of a Line
What is the easiest form to graph a linear equation?
the slope-intercept form y = mx + b
Evaluate:
-2 - 5
-7
What's the point slope form?
y-y1 = m(x - x1)
When graphing linear equations in slope intercept form, where do we begin?
We begin at the y-intercept.
Solve:
3x - 2 = -14
x = -4
Write an equation for a line with slope = 4 and y - int
= -7
y = 4x - 7
Name at least one way to describe slope.
Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b
Explain how to graph the following equation. 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
y+2 = 2/3x
Graph (explain) the following equation. 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
What are the y- intercept and x- intercept of the line: 2x + 3y = 18
(0, 6), (9, 0)
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
-7y = -3.5x + 21 y = 0.5x + 3 or y = 1/2x + 3
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
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.