Graphing Linear Equations
slope of a line
Slopes and Intercepts
point-slope form
Direct Variation
100
Is this Linear?
Y= 3x - 4
yes.
100
What is the formula for slope?
m= rise/ run
change in y/ change in x
100
If the x-intercept of the line is value X, what is the value of y?
If the y- intercept of the line is value Y, what is the value of x?
0
100
What is the point-slope form equation?
y - y1 = m( x - x1)
100
What is the equation for direct variation?
y = kx
y/x = k
200
Is this equation linear?
x = 4
yes. linear
200
Draw a picture of a positive slope.
200
What is the equation for slope-intercept form?
y = mx + b
200
Use the point-slope form of each equation to identify a point the line passes through and the slope of the line.
y + 6 = 2(x + 5)
(-5, -6)
m = 2
200
Determine whether the data set shows direct variation:
x: 7, 8, 9, 10, 11
y: 39, 41, 43, 44, 45
not linear. not a direct variation
300
Is this equation linear?
y = x2 - 12
no. not linear
300
Draw a picture of a negative slope.
300
Find the x-intercept and y-intercept of the line:
3x + 4y = 12
x-intecept: 4
y-intercept: 3
300
Use the point-slope form of each equation to identify a point the line passes through and the slope of the line.
y - 4 = -2/5 (x - 6)
(6, 4)
m = -2/5
300
Find each equation of direct variation, given that y varies directly with x.
x is 45 when y is 5
y = 1/9x
400
Determine whether the rates of change are constant or variable.
x: -1, 0, 3, 5, 9
y: 1, 3, 6, 10, 4
variable.
400
Find the slope of the line passing through each pair of points.
(4, 3) and (-1, 1)
m= 2/5
400
Write each equation in slope-intercept form: find the slope and y-intercept.
2y - 6x = -10
y = 3x - 5
m = 3
b = -5
400
Write the point-slope form of the equation with the given slope that passes through the indicated point.
the line with slope 4 passing through (3, 5)
y - 5 = 4(x - 3)
400
Find each equation of direct variation, given that y varies directly with x.
y is 48 when x is 3
y = 16x
500
Determine whether the rates of change are constant or variable.
x: 2, 4, 6, 7, 8
y: 8, 4, 0, -2, -4
constant
500
Find the slope of the line passing through each pair of points.
(-1, 5) and (4, 2)
m= -3/5
500
Write the equation of the line that passes through each pair of points in slope-intercept form.
(0, 2) and (4, -1)
y =-3/4x + 2
500
Write the point-slope form of the equation with the given slope that passes through the indicated point.
the line with slope -2 passing through (-2, 4)
y - 4 = -2(x + 2)
500
Solve each system of equations by graphing. check your answer.
-x + y = 8
y - 8 = x
graph. 8 = 8