Identifying Linear Functions
Using Intercepts
Slope
Slope intercept form
Point Slope form &Slopes of lines
100
What is a function whose graph forms a straight line called?
linear function
100
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x-intercept?
100
What is the slope of a horizontal line?
Zero
100
What is slope intercept form?
y=mx+b
100
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
200
What is the standard form of a linear equation?
Ax+By=C
200
Find the x intercept: 2x- 4y=8
x=4
200
What is the slope of a vertical line?
Undefined
200
Write the equation in slope intercept form: slope=0, y intercept =-5
y=-5
200
What lines have the same slope?
parallel
300
Tell whether the function is linear and turn it into standard form of linear equation: y=x+3
Yes can be written as -x+y=3
300
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
300
Find the slope of (4,-2) and(-1,2)
What is -4/5
300
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
300
How do you know when you have perpendicular slopes?
When the product of the slopes equal -1
400
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
400
Find the x and y intercepts of 3x- 2y=12
x=4 and y=-6
400
Find the slope of (20,3000) and (60,2000)
What is -25
400
Write the equation y- 3 = 2(x-5) in slope-intercept form.
y = 2x + 7
400
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
500
Do these points create a linear function, (1,2), (2, 5) and (3, 10)
No, it is not linear.
500
Find the x and y intercepts of 2x + 4y=8. Then put the equation in slope-intercept form
x=4 and y=-2 y = -1/2x + 2
500
Find the slope of the equation: 6x + 2y=30 and write in point-slope form through point (1, 12)
What is -3 y - 12 = -3(x - 1)
500
Write the equation point slope form and in slope intercept form going through points (-2, 4) and (4, -8).
What is y - 4 = -2(x +2) or y + 8 = -2(x - 4) y = -2x
500
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
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