Slope of a Line
What slope would be parallel to the line y = 1/2x -5?
m = 1/2
Graph the line y = 2. What is the slope?
Horizontal line through (0, 2); m = 0
What is slope intercept form?
y = mx + b, m = slope and y-intercept at (0, b).
What is the point-slope equation?
y - y1 = m(x - x1)
What is standard form of an equation?
Ax + By = C
What slope would be perpendicular to the line y = 1/2x -5?
m = -2
Graph the line x = 4. What is the slope?
Vertical line through (4, 0); m is undefined
In the following linear equation, what is the y-intercept? y = -3/4x
b = 0, so (0, b) = (0, 0).
A line with slope -3 goes through the point (1, 8). Write an equation for this line in point-slope form.
y - 8 = -3(x - 1)
Find the x and y intercepts of x + 4y = 8.
x-intercept (8, 0), y-intercept (0, 2)
Find the slope from the following table:
x | 2 | 4 | 6 | 8 |
y | 3 | 6 | 9 | 12 |
m = Δy/Δx = 3/2
Graph the following equation. Include at least 3 points. y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be up 1 and 3 to the right continuing to another point. Movement could also be down 1 and 3 to the left.
Rewrite this equation in slope-intercept form. 3x + 3y = -12
y = -x - 4
Write an equation in point-slope form with a slope of -1 that passes through (2, -3).
y + 3 = -(x - 2)
Find the x and y intercepts of 5x - 3y = 15.
x-intercept (3, 0), y-intercept (0, -5)
A line crosses the x-axis at (-4, 0) and the y-axis at (0, 3). What is the slope?
m = rise/run = 3/4
Graph the following equation. Include at least three points. 4x - 2y = 2
Graph should begin with a point on the y-axis at (0, -1). Movement should be up 2 and 1 to the right continuing to another point. Movement could also be down 2 and 1 to the left.
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
Write an equation in point-slope form with a slope of 2 that goes through the point (-3, 5).
y - 5 = 2(x + 3)
Convert y = -2/5x + 1 to standard form.
2x + 5y = 5
The amount y (in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation.
y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
y = 0.5x + 3 or y = 1/2x + 3
Write an equation in point-slope form for a line that includes (-1, 1) and (6, -3).
m = -4/7, y + 3 = -4/7(x - 6)
or
y -1 = -4/7(x +1)
Convert y = 2/3x - 5 to standard form.
2x - 3y = 15