linear equations
system of equations
100
What is the slope?
slope = 2
100
solve this eqation ;−4x − 2y = −12 4x + 8y = −24
(6, −6)
200
What is the rate of change?
slope = -1/4
200
solve this equation 7x + 2y = 24 8x + 2y = 30
(7, −1)
300
Write the equation of the line with slope 2 that has y intercept 5.
y = 2x + 5
300
solve this by substitution
2x+4y=7
x+2y=3
there is no solution
400
Write the equation of the line that passes through the points (3, -2) and (-2, 8).
The answer is y = -2x – 1.
400
Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
Plane: 135 km/h, Wind: 23 km/h
500
Explain why you cannot use y = mx + b to find the equation of a vertical line.
The equation of a vertical line is an equation in the form x = a constant. Vertical lines have infinite slope and typically do not have a y-intercept.
500
Find the value of two numbers if their sum is 12 and their difference is 4.
4 and 8