Slope-Intercept, Point-Slope, and Standard Form
What is the general equation of a line in slope-intercept form?
y = mx + b
Given the function f(x) = 2x - 8
Determine f(0).
f(0) = -8
Determine the constant of proportionality for the following equation.
y = 2x
k = 2
What transformation describes the following?
g(x) = f(x) + 3
What is... a translation 3 units up?
The slope of the line parallel to y = 2x + 5
m = 2
What is the general equation of a line written in point-slope form?
y - y1=m(x-x1)
Provide an example of a linear equation that is not a function.
Vertical Line.
What is the value of the y-intercept of a direction variation equation?
b = 0
What transformation describes the following?
g(x) = f(x - 7)
Translation 7 units right.
The slope of a line perpendicular to the line y = (8/3)x.
m = -3/8
Write the equation of a line in point-slope form that has a slope of 5 and intersects through the point (2, -5)
y +5 = 5(x - 2)
What is the equation of the line presented on Desmos?
y = 2x + 5
What are the two properties a graph must have in order to be proportional?
Linear Function
Intersects the Origin
What transformation describes the following?
g(x) = .5f(x)
A vertical compression by a factor of 1/2.
What is the equation of a line that is perpendicular to the line y = 5 and intersects the point (2, 5).
x = 2
Determine the x-intercept of the following line. (Your answer should be a coordinate point)
-5x + 12y = 100
(-20, 0)
Given the function f(x) = -(2/3)x - 8,
Determine the value of 2f(9).
The amount of money Ryan works is directly proportional to the amount of hours that he works. If Ryan works for 10 hours and earns $150, how many hours would he need to work to earn $900?
Ryan needs to work for 60 hours.
What transformation describes the following?
g(x) = f(-x)
A reflection across the y-axis.
What is the equation of a line parallel to the equation y= 3x - 26.423 and intersects the point (-2, 4)?
y = 3x + 10
Determine the equation of a line in slope-intercept form that intersects the following points:
(-6, 6) and (2, 4).
y = -(1/4)x + 9/2
Given f(x) = (1/2)x + 3 and g(x) = 3x - 8
Determine f(8) - g(1)
f(8) - g(1) = 12
y and x are directly proportional. If y = 3/4 when x = 2, then what is y when x = 10?
y = 15/4
Given: f(x) = x
g(x) = af(x)
And g(x) = -3x.
Determine a.
a = -3
Determine if the following equations are parallel, perpendicular, or neither:
3x - 5y = 20
y + 4 = (3/5)x
Neither.