Linear Equations
What is the slope of the line π¦ = 3π₯ + 4?
3
What formula is used to find slope?
(yβ β yβ) / (xβ β xβ)
What does it mean when two lines intersect?
One solution
What symbol means βless than or equal toβ?
β€
Evaluate 2π₯Β² β 3π₯ when π₯ = 2
2(4) β 6 = 2
Solve: 2π₯ + 5 = 15
x = 5
Find the slope between (2, 4) and (4, 8).
2
Solve by substitution: π¦ = 2π₯, and π¦ = π₯ + 3
π₯ = 3, π¦ = 6
Solve: 3π₯ β 5 > 10
π₯ > 5
Simplify: 5(2π₯ β 3) + 4π₯
14π₯ β 15
What is the π¦-intercept of π¦ = β2π₯ + 7?
7
A line passes through (1, 2) and has a slope of 3. What is its equation?
π¦ = 3π₯ β 1
What type of system has no solution?
Parallel lines
What happens when you multiply or divide both sides of an inequality by a negative number?
Flip the inequality sign
What is the slope of a line perpendicular to one with slope Β½?
β2
Write the equation of a line with slope 4 passing through (0, β3).
π¦ = 4π₯ β 3
What type of slope does a horizontal line have?
0
Solve by elimination: 2π₯ + π¦ = 8, 4π₯ + π¦ = 12
π₯ = 2, π¦ = 4
Graph the inequality π¦ > 2π₯ + 1 β what kind of line should be drawn?
Dashed line
A line passes through (β2, 5) and (2, β3). Find the slope.
β2
Solve for π₯: 3(π₯ β 2) = 4π₯ + 5
π₯ = β11
What type of slope does a vertical line have?
Undefined
Describe the graph of a system with infinitely many solutions.
Same line (coincident)
Solve and graph: β2π₯ + 4 β€ 10
π₯ β₯ β3
Which graph represents a function? (Have multiple-choice options on board)
The one where no x-value repeats (passes vertical line test)