Finding Slope & Graphing Lines
Graph the following linear equation:
y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point.
Solve for x.
x/2 + 5 = 13
x = 16
Write the slope-intercept form of a line with a slope of 2/3 and a y-intercept of 7.
y = 2/3x + 7
Write the slope-intercept form of a line with a slope of 5 and a y-intercept of -3.
y = 5x - 3
Are the lines below parallel, perpendicular, or neither?
y = 2x - 4
y = 2x + 7
Parallel
Graph the following linear equation
y = -2x - 3
Graph should begin with a point on the y-axis at -3. Movement is down 2 and to the right 1.
Solve for
2(11 + 3b) = 4
b = -3
Rewrite this equation in slope-intercept form:
x + y = -12
y = -x - 12
Write the slope-intercept form of a line with a slope of 3 that goes through the point (2, 7).
y = 3x + 1
Write the slope-intercept of a line parallel to y = 3x + 7 that goes through the point (-2, -4).
y = 3x + 2
Find the x- and y-intercepts. Then graph the line.
4x - 8y = 24
x-int: x = 6
y-int: y = -3
Solve for t.
16 - 2t = 5t + 9
t = 1
Rewrite the following equation in slope-intercept form:
3x + 6y = -18
y = -1/2x - 3
Write the slope-intercept form of a line with a slope of 2/3 that goes through the point (3, 0).
y = 2/3x - 2
Write the slope-intercept of a line parallel to 2y = 10x + 8 that goes through the point (3, -7).
y = 5x - 22
Find the slope of the line that goes through the points:
(4, -5) (-4, 5)
slope = -10/8 or -5/4
Solve for a.
3(2a + 4) = 3(a - 1) + 27
a = 4
Rewrite the following equation in slope-intercept form:
3.5x - 7y = -21
-7y = -3.5x + 21
y = 0.5x - 3 or y = 1/2x - 3
Write the slope-intercept form of a line that goes through the points (4, 5) and (2, 3).
slope = 1 y -intercept = 1
y = x + 1
Write the slope-intercept of a line perpendicular to y = 1/2x + 6 that goes through the point (-1, 9).
y = -2x + 7
Graph the linear equation using any method:
4x + 3y = 12
Using intercepts, plug in 0 for x and y.
Otherwise, move things around to get y by itself. The new equation should be y = -4/3x + 4
Solve for x.
3x - 4 + 3(x + 2) = 4(2x - 1)
x = 3
Rewrite the following equation in slope-intercept form:
y - 2 = 1/2(4x + 4) + 1
y = 2x + 5
Write the slope-intercept form of a line that goes through the points (15, -10) and (5, 10).
slope = -2 y-intercept = 20
y = -2x + 20
Write the slope-intercept of a line perpendicular to 4x + 2y = -10 that goes through the point (4, 5).
y = 1/2x + 3