Identifying Linear Functions
What is a function whose graph forms a straight line called?
linear function
What is b in y=mx+b
What is the y intercept
What is the slope of a horizontal line?
Zero
When given a table how can you look and tell if it is a function or not?
x's do not ever repeat!
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y=-7x+30
What is the formula for slope intercept form?
y=mx+b
Find the y intercept: 2x- 4y=8
y=2
What is the slope of a vertical line?
Undefined
If the outputs repeat, but the inputs do not in a chart is it a function?
YES!
Tell whether the function is linear and turn it into standard form of linear equation:-x+y=3
Yes can be written as y=x+3
Find the y intercept of 3x+4y=24
y-intercept =6
Find the slope of (4,-2) and(-1,2)
What is -4/5
Function or Non Function? y=5x^2+5
NO!!!! Function equations do not have exponents with x's
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
Find the slope of 3x- 2y=12
slope= -6
Find the slope of (1,-6) and (-2,-8)
Slope = 2/3
Is this equation a linear function?: y= 4x-3
yes!
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
Tell whether the function is linear and graph the function 5x+2y=10
Yes it is linear. y=-5/2x+5
Find the slope of 2x + 4y=8.
Slope = 1/2 or .5
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)
Point slope: y-2=3 (x-3) slope intercept: y=3x -7