Identifying Linear Functions
What is a function whose graph forms a straight line called?
linear function
What is the slope of a horizontal line?
Zero
What is slope intercept form?
y=mx+b
What is the slope in this
point-slope form of equation:
y-2=-7(x-4)
Slope = -7
What is the standard form of a linear equation?
Ax+By=C
Find the x-intercept:
2x - 4y=8
x=4
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
Write the equation into standard form:
y=x+3
-x+y=3
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
Find the slope of (4,-2) and (-1,2)
What is -4/5
Write the equation in slope-intercept for slope=4 and (2,5) is on the line.
y=4x-3
How do you know when you have perpendicular slopes?
When the slopes are opposite reciprocal
Tell whether the set of ordered pairs satisfies a linear function.
(2,4), (5,3) (8,2), (11,1)
Yes, constant change of 3 for x, constant change of -1 for y
Find the x and y intercepts of 3x-2y=12
x=4 and y=-6
Find the slope of (20,3000) and (60,2000).
What is -25
Graph the equation: y=4x-3
(See graph)
Write in slope-intercept form:
y+2=-4(x+1)
y=-4x-6
Graph the function:
y=1/2 x +3
Yes, it is linear. (See Graph)
Find the x and y intercepts of 2x+4y=8. Then graph it
x=4 and y=-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 x +4 (See graph)
Write in slope-intercept form:
y-2=3(x-3)
y=3x-7