Graphing Linear Equations
Identify and graph the linear equation:
y = 3x + 1
See graph paper.
slope = 3
y-intercept = 1
The points in the table lie on a line. Find the slope of the line.
(0, -1), (1, 0), (2, 1), (3, 2)
slope = 1
y = 2x - 6
See graph paper.
x-intercept = 3
Write an equation of the line in slope-intercept form with the following two points:
(0, -2) & (3, 1)
y = x - 2
Write in point-slope form an equation of the line that passes through the point (4, 4) with slope 3.
y - 4 = 3 (x - 4)
Identify and graph the linear equation:
y = 4 - x
See graph paper.
slope = -1
y-intercept = 4
The points in the table lie on a line. Find the slope of the line.
(-2, 3), (0, 4), (2, 5), (4, 6)
Graph the linear equation. Identify the x-intercept.
y = -4x + 8
See graph paper.
x-intercept = 2
Write an equation of the line in slope-intercept form with the following two points:
(0, 4) & (4, 2)
y = -1/2 x + 4
Write in point-slope form an equation of the line that passes through the points (-4, 2) and (6, -3).
y = -1/2 x
Identify and graph the linear equation:
y = 2
See graph paper.
slope = 0
y-intercept = 2
Are the lines x=2 and y=4 parallel? Are they perpendicular? Explain.
Parallel - no
Perpendicular - yes
The line x=2 is vertical and the line y=4 is horizontal. A vertical line is perpendicular to a horizontal line.
Graph the linear equation. Identify the x-intercept.
y = -x - 8
See graph paper.
x-intercept = -8
Write an equation of the line in slope-intercept form with the following two points:
(0, 1) & (2, -3)
y = -2x + 1
Write in point-slope form an equation of the line that passes through the points (-1, 5) and (3, -3).
y = -2x + 3
Identify and graph the linear equation:
x = 3
See graph paper.
slope = undefined
y-intercept = undefined
The number y of miles you run after x weeks is represented by the equation y = 8x. Graph the equation and interpret the slope.
See graph paper.
You run 8 miles per week.
Graph the linear equation. Then identify the slope and y-intercept.
1/4 x + y = 3
See graph paper.
slope = -1/4
y-intercept = 3
Write an equation of the line in slope-intercept form with the following two points:
(0, -3) & (2, 1)
y = 2x - 3
Write in point-slope form an equation of the line that passes through the points (-4, 1) and (4, 3).
y = 1/4 x + 2
Identify and graph the linear equation:
2y = 4x + 2
See graph paper.
slope = 2
y-intercept = 1
The number y of hours that you study after x days is represented by the equation y = 1.5x. Graph the equation and interpret the slope.
See graph paper.
You study 1.5 hours per day.
Graph the linear equation. Identify the slope and y-intercept.
x + 5y = 10
See graph paper.
slope = -1/5
y-intercept = 2
Write an equation of the line in slope-intercept form with the following two points:
(0, -5) & (5, -5)
y = -5
Write in point-slope form an equation of the line that passes through the points (-2, 5) and (-1, 1).
y = -4x - 3