Chapter 3
17 = 5 - 3p
-4
Give an equation of the horizontal line through point (6, -2).
y = -2
Write an equation of the line in slope-intercept form. The slope is 2; the y-intercept is -1.
y = 2x - 1
Solve the inequality.
(x + 6) > 2(1 - x)
x > -4/3
Solve the linear system.
2x - 3y = 9
x = -3
(-3, -5)
-3/4x - 2 = -8
8
Does the point (2, -1) lie on the line
6y - 3x = -9?
no
Give an equation of the line with slope
1/2
and passes through (2, 5).
y = 1/2x + 4
Write an inequality that represents the statement: x is at least -3 and is less than 4
-3 <= x < 4
Solve the linear system.
2x + 3y = 31
y = x + 7
(2, 9)
5/3(9 - w) = -10
15
Find the x-intercept and y-intercept of the line.
2x + 9y = -36
x-intercept = -18
y-intercept = -4
Give an equation of the line containing
(2, 0) and (-2, 6).
y = -3/2x +3
Sketch the graph of the inequality.
-4 < x
Open dot at -4 with the line shaded to the right
Solve the system of linear equations.
x + y = 6
3x + 3y = 3
no solution
-5r - 6 + 4r = -r + 2
no solution
Find the slope of the line containing
(-6, 2) and (4, -2).
-2/5
Explain how to write an equation in slope-intercept form when you are given only a line on a coordinate plane.
You will need to find the slope (m) by counting rise/run. Then locate the y-intercept (b). Finally, substitute these values into y = mx + b.
Is (3, 2) a solution for the inequality:
4x + 7y < 26?
no
Solve the system of linear equations.
x + 2y = 5
3x - 15 = -6y
infinitely many
Rewrite
3x + 4y = 15 + 6y
so that y is a function of x.
y = 3/2x - 15/2
Construct an x/y chart for the equation:
5(x + 3 + y) = 10x
(-1, -4) (0, -3) (1, -2)
Give an x/y chart for the following equation.
y = 1/4x - 2
(-4, -3) (0, -2) (4, -1)
Explain the steps to graphing the following inequality. 3x - y > 5
2) Make an x/y chart.
3) Should the line be solid or dashed? (dashed)
4) Use (0,0) as a test to see which side of the line should be shaded. (not the (0,0) side)
Is (-1, 1) a solution to the following system of linear inequalities?
2x + y < 4
2x + y > -4
Yes, it is a solution.