Identifying Linear Functions
What is a function whose graph forms a straight line called?
linear function
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x intercept
What is the slope of a horizontal line?
Zero
What is slope intercept form?
y=mx+b
Write the linear equation in slope intercept form: Slope=-7 ; (4,2)
y = -7x + 30
What is the degree of a linear function?
1
Find the x intercept: 2x- 4y=8
(4,0)
What is the slope of a vertical line?
Undefined
Write the equation in slope intercept form: slope=0, y intercept =-5
y=-5
What lines have the same slope?
parallel
Tell whether the function is linear and if so, state the slope and y intercept: y=x+3
Yes, slope = 1; y intercept is (0,3)
Find the x and y intercepts of 3x+4y=24
(8,0) and (0,6)
Find the slope of (4,-2) and(-1,2)
What is -4/5
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
What is the equation of a line parallel to the x - axis passing through (5, 8)
y = 8
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y
Find the x and y intercepts of 3x- 2y=12
(4,0) and (0,-6)
Find the slope of (20,3000) and (60,2000)
What is -25
State the equation of the line passing through the points (-3, -5) and (-3, 6)
x = -3
Write this equation in slope intercept form:
slope=-4, (-1,-2)
Slope intercept: y=-4x -6
Tell whether the function below is linear. If so, give the slope:
x | -2 -1 0 1 2
y | 1 -2 -5 -8 -11
Yes it is linear. Slope is -3/4
Find the x and y intercepts of 2x + 4y=8.
(4,0) and (0,-2)
Find the slope of the equation: 6x + 5y=30
What is -6/5
Write the equation in slope intercept form and graph: 3x+2y=8
y=-3/2+4 See graph
Write the equation in slope intercept form: (1,-4) and (3,2)
slope intercept: y=3x -7