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?
The x intercept.
What is the relationship between the slopes of parallel lines?
They have the same slope
Write the linear equation in point slope form:
Slope=-7 ; (4,2)
y-2=-7(x -4)
What is the standard form of a linear equation?
Ax+By=C
Find the x and y intercepts: 2x- 4y=8
x=4
y=-2
If two lines are perpendicular, then they intersect to form angles of what measure?
90 degrees
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
Are the following lines parallel, perpendicular, or neither?
2x - 4y = 8 and 3x + 8y = 16
Neither
How do you know if two lines are perpendicular?
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, constant change is -1 over 3 (-1/3)
Are the following lines parallel, perpendicular, or neither?
3x - 6y = 10 and 2x -4y =30
Parallel
What is the equation of the line in slope-intercept form that goes through the points (2,3) and (-1,4)
y=-1/3x + 11/3
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
y+2= -4(x+1)
y=-4x -6
Tell whether the function is linear and explain.
(2,4)(3,5)(4,6)(5,6)
No, because it does not have a constant change.
Find the x and y intercepts of 2x + 4y=8.
x=4 and y=-2
A line perpendicular to the line y= 1/3x - 4 and goes through the point ( 3, 5) has an equation of what?
y=-3x + 14
Write the equation in slope intercept form:
3x+2y=8
y=-3/2x + 4
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
y-2=3(x-3)
y=3x -7