Slope-Intercept Form
What is the formula for slope-intercept form?
y = mx + b
What is the formula for point-slope form?
y - y1 = m*(x - x1)
What is the formula for Standard Form?
Ax + By = C
What form is the following equation written in?
y - 3 = -5(x + 1)
point-slope form
What two parts of a line does y = mx + b use?
Slope (m) and the y-intercept (b)
What two parts of a line does y - y1 = m*(x - x1) use?
Slope (m) and point (x1, y1)
Standard form is useful in that it helps us easily find what two parts of a line?
X-intercept and Y-intercept
What form is useful for finding x and y intercepts of a line?
Standard form
y = -3x + 5?
slope = -3
y-intercept = (0,5)
What is the point and the slope in the equation:
y + 4 = .5(x - 3)
slope = .5 (or one-half)
point = (3, -4)
What is the x intercept of the following equation:
-2x + 5y = 24
x-intercept = (-12, 0)
Rewrite the following equation in slope intercept form:
y - 1 = 2(x - 6)
y = 2x - 11
Describe to Mr. Hagberg how you would graph a line of the equation:
y = 3x - 7
Start at the y intercept of -7 on y axis.
Follow the slope up 3, over 1
Describe to Mr. Hagberg how you would graph the line of the equation:
y - 3 = -2(x + 1)
Follow the slope down 2, over 1
What is the y-intercept (as a set of coordinates) in the following equation:
3x + 4y = 18
Given the point (2, 5) and a slope of 6, what is the y-intercept?
(0, -7)
Stephanie is ordering socks online that are $7.99 each. She knows that the shipping cost added on at the end will be $5. Write an equation in slope-intercept form where x is the pairs of socks and y is the total cost of Stephanie's order.
y = 7.99x + 5
Jeff knows that he can wrap 3 presents every hour. He notices that after 2 hours, there are 11 presents wrapped. Write an equation in point-slope form that shows the number of presents y that Jeff can wrap in x hours.
y - 11 = 3(x - 2)
Describe to Mr. Hagberg how you would graph the line of an equation in standard form? (without just rearranging to slope-intercept form)
Calculate and graph the x-intercept
Calculate and graph the y-intercept
Connect the dots!
(0, 0)