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 point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
What is the general form of a linear equation?
Ax+By+C=0
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
y=x+3
Is the equation linear? What is the following equation in general form?
Yes can be written as 0=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 form: 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 reciprocals
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, x constantly changes by 3 and y constantly changes by -1
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
How would you graph the equation: y= 4x-3
Start at the y intercept (-3), go up 4, right 1 to the next point.
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1)
Slope intercept: y=-4x -6
What is the difference between a linear line with a slope of 0 and a linear line with an undefined slope?
0: horizontal
Und: vertical
Find the x and y intercepts of 2x + 4y=8 then rearrange for slope- intercept form.
x=4 and y=2
y = 1/2 x + 2
Find the slope of the equation: 6x + 5y=30
What is 6/5
Write the equation in slope-intercept form:
3x+2y=8
y=-3/2+4
Write the equation in point-slope form and in slope-intercept form: (1,-4) and (3,2)
Point slope: y-2=3 (x-3) slope intercept: y=3x -7