Finding Slope of a Line
Identify the slope of the following equation. y = mx + b
the variable m
True or False
In standard form, A has to be positive.
True
What forms of equations do we use for lines?
Slope-Intercept Form- y = mx + b
Point-Slope Form- y - y1 = m(x - x1)
Standard Form- Ax + By = C
Identify the slope of the following equation. y = 2x + 3
slope is 2
When graphing linear equations, where do we begin?
We begin at the y-intercept.
Write the point slope form using (1,4) and 3 as your slope.
y - 4 = 3(x - 1)
Write an equation for a horizontal line that goes through the point (-3, 3)
y = 3
Name three ways to describe slope.
Possible answers: rate of change, rise over run, change in y/change in x, slope = m in y = mx + b
Graph the following equation. Include at least 3 points. y = 1/3x + 4
Write the slope and y-intercept under your graph.
m = 1/3 y-int = 4
***Check graph
Rewrite this equation in slope-intercept form. 4x + 2y = -12
y = -2x - 6
What is the slope of this equation?
x = 5
Undefined Slope
Write an equation for a line with the following slope and points using slope intercept form.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
m = -5/4
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.
***Check graph
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.
***Check graph
Write an equation using point-slope form for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
slope = -2 y intercept = 20
y - 10 = -2(x - 5) OR y +10 = -2(x - 15)
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
m = 2/3
Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.
Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3
Rewrite the following equation in slope-intercept form. y - 3 = 2(x - 1)
y = 2x + 1
List the steps to graph a linear equation.
1. Find the y-intercept and plot it.
2. Determine the slope of the equation and plot the rest of the points on the line.
3. Connect the points.
Using the coordinates (2, 5) (0,-1) find the slope and y intercept. Then, write the equation of the line in slope-intercept form, point-slope form, and standard form.
m = 3 y-int = -1
slope-intercept form y = 3x - 1
point-slope form y - 5 = 3(x - 2) OR y + 1 = 3(x)
standard form 3x- y = 1