Linear Equations
3x + 5 = x + 13
x = 4
Find the slope between (2, 3) and (6, 11)
m = 2
Table:
x:1, 2, 3, 4
y: 3, 6, 9, 12
Is this relationship proportional?
Yes.
Ratio = 3
Write the equation of a line with slope 3 and y-intercept -2
y = 3x - 2
Write 4,500 in scientific notation
4.5 × 10³
4x - 9 = 2x + 7
x = 8
What is the slope of the line: y = -3x + 8
m = -3
Table:
x: 1, 2, 3, 4
y: 4, 7, 10, 13
Is this relationship proportional?
No
What is the slope and y-intercept of: y = -4x + 7
m = -4
b = 7
Write 0.00072 in scientific notation
7.2 × 10⁻⁴
2x - 7 = 5x + 2
x = -3
What is the slope of the line: y = 12x - 8
m = 12
Equation: y = 5x
Is this proportional?
Yes
Write the equation of a line with slope 1/2 and y-intercept -6
y = 1/2x - 6
Convert to standard form:
3.1 × 10⁵
310,000
6x + 4 = 3x + 19
x = 5
What is the slope of the line: y = 1/2x - 6
m = 1/2
Equation: y = 2x + 6
Is this proportional?
No. There is a y intercept.
y = 2x + 3, when x = 5
y = 13
Convert to standard form:
6.4 × 10⁻³
0.0064
5x + 3 = 3x - 11
x = -7
Find the slope between (2, -5) and (6, -1)
m = 1
A car travels 60 miles in 1 hour, 120 miles in 2 hours, 180 miles in 3 hours.
Is this proportional?
Yes.
Rate of change = 60
y = -3x + 10, when x = 4
y = -2
Write in scientific notation:
0.000009
9 × 10⁻⁶