Basics of linear equations
What is the standard form of a linear equation?
Ax + By = C
Solve 2x + 3 =7
x =2
In y = mx + b, What does m represent?
slope
What is the y— intercept y = 2x + 3?
3
A taxi charges $4 plus $2 per mile. Write the equation
y = 2x + 4
What is the slope intercept form of a line?
y = mx + b
Solve: 4x - 9 = 11
x = 5
In y = mx + b, What does b represent ?
y- intercept
What is the slope of y = - 3x + 1
-3
A phone plan costs $10 plus $5 per hour. What is the slope?
5
True or false: All linear equations form straight lines?
True
Solve: 5x + 8 = 3x + 20
x = 6
Find the slope of a Line through (2,3) (4,7)
m = 2
Write the equation of a Line with slope 2 and y-intercept -4?
Y = 2x - 4
You earn $8 per hour plus $20 bonus. Write the équation for your pay
y = 8x + 20
How many variables are in a linear equation in to dimensions?
2
Solve: 6(x - 2) = 3x + 9
x = 7
If a line has a slope of 0, What kind of Line is it?
horizontal line
Graph y = x+ 2 - Wheeler does it cross the y - axis?
(0,2)
A Line passes through (0,2) and (3,8.) What is the slope?
M = 2500
What does “linear“ mean in algebra?
it means “straight Line“
Solve: -2(3x - 5) + 4 = 8x - 6
X = 1/2
What is the slope of a vertical line?
What happens to the line if you increase the slope value?
The Line gets steeper
If y = 15x + 60, What does the 60 represent in real - world context
Initial or starting valuee