Slope
What is the slope of the linear equation, y = -2x + 1?
m = -2
What is the y - intercept of the equation,
y = -2/5x - 8?
b = -8
John started graphing the equation, y=3/4x -1 by plotting a point at -1 on the x-axis. Was he correct?
No. It should be on the y-axis.
Given a slope of 5 (m) and a y-intercept of 3 (b), write a linear equation in slope-intercept form (y = mx+b).
y = 5x + 3
State the slope of the linear equation, y -5 = 7(x + 2).
m = 7
What direction (slant-left/right (down) or right/left (up)) does a slope of -4 have?
Downwards from left to right (down).
Identify the y-intercept.
2x + 4y = 12
(0, 3)
William attempted to graph the linear equation, y = 1/2x - 5 by first plotting -5 on the y-axis, then going down 1 and over 2 (right) for the 2nd point. Was he correct?
No. He should have gone up 1 and over 2 (right).
Write a linear equation in y = mx + b form given the point (2, 4) and the slope of 1/2.
y = (1/2)x + 3
Write y + 3 = -1(x - 5) in slope-intercept form (y = mx + b).
y = -x + 2
If home A's roof has a slope of 2 and home B's has a slope of 1/2, which home would be steeper?
Home A
Given the linear equation, y - 5 = x, what is the y-intercept?
b = 5
Write y - 2 = 5(x + 3) in slope-intercept form.
y = 5x + 17
Write a linear equation in y = mx + b form, using the point-slope form, given the two points (4, 0) & (3, 6).
y = -6x +24
Write an equation in slope-intercept form (y=mx+b) given a slope of -3 and a y-intercept of 5.
y = -3x + 5
Given the two points, (5, 1) & (3, 2), what would the slope be.
m = -1/2
Given the linear equation, -y + x = 7, what is the y-intercept?
b = -7
Juan graphed the linear equation, y = -2/3x + 5, by plotting the y-intercept (5), then going down 2 and over 3 (right) for his second point. He then drew a line through the two points. Is he correct? If not, state where he made the mistake(s).
Yes!
Write a linear equation that has the same slope as the equation y = 4x - 3, but has a y-intercept of 9.
y = 4x + 9
Write the linear equation in slope-intercept form.
-6x - 3y = 9
y = -2x - 3
What is the slope of the line that passes through the points (-1/2, 3/2) and (1/4, 7/3)
m = 10/9
Identify the y-intercept.
-3x = (1/2)y + 6
b = -12 or (0, -12)
Juan graphed the linear equation, y = -2/3x + 5, by plotting the y-intercept (5), then going down 2 and over 3 (right) for his second point. He then drew a line through the two points. Is he correct?
Yes!
Write a linear equation in Slope-intercept form
y = mx + b given the slope and y-intercept. Then write the equation in Standard form.
m= 2/3 b = -6
y = (2/3)x - 6; 2x -3y = 18
The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold, and y is the number of baseball caps sold.
Find the x and y intercepts and explain what they mean in the context of the problem.
y-int (0, 900) means no sweatshirts sold, 900 baseball caps sold
x-int (360, 0) means 360 sweatshirts sold, no baseball caps sold