Identifying Linear Functions
What type of function whose graph forms a straight line?
Linear Function
What is the name of the point where a graph crosses the x-axis?
x-intercept
What is the slope of a horizontal line?
0 or Zero
What is the slope-intercept form of a linear equation?
y=mx+b
What is the standard form of a linear equation?
Ax+By=C
Find the x intercept: 2x- 4y=8
x=4 or (4,0)
Write the equation in slope-intercept form: slope=0, y-intercept =-5.
y=-5
GIVEN: y=x+3
(a) Tell whether the function is linear and (b) turn it into the standard form of a linear equation.
(a) Yes
(b) -x+y=3 or x-y=-3
Find the x and y intercepts of 3x+4y=24.
x=8 or (8,0) and y=6 or (0,6)
Find the slope of (4,-2) and(-1,2).
-4/5
Write the equation in slope-intercept form: slope=4 and (2,5) is on the line.
y=4x-3
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change of 3 in x coordinates. Constant change of -1 in y coordinates.
Find the x and y intercepts of 3x- 2y=12.
x=4 or (4,0) and y=-6 (0,-6)
Find the slope of (20,3000) and (60,2000).
-25
Graph the equation y= 4x-3 using Slope and y-intercept.
See graph
Given the equation 2x+y=3, does the graph of the line slant upward or downward?
The graph slants downward.
Find the x and y intercepts of 2x + 4y=8. Then graph it.
x=4 or (4,0) and y=2 or (0,2)
Find the slope of the equation: 6x + 5y=30.
-6/5
Write the equation in slope intercept form and graph: 3x+2y=8
y=(-3/2)x+4 See graph