$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Slope-Intercept Form Mr. P’s Favorite Mystery Graphical Reasoning Perpendicular & Parallel lines Two Points

Write an equation of the line in slope-intercept form: Slope: 1 y-intercept: 2 ($100 )

y = x + 2 ($100)

(200) Write an equation of the line in slope-intercept form: Slope: -1/4 y-intercept: -1

(200) y = -1/4x - 1

Write an equation to model the population P of South Carolina in terms of t if the initial population is 3,486,000 and increases by 37,400 every year. (300)

P = 37,400t + 3,486,000

(400) Using the model: P = 37,400t + 3,486,000 Estimate what the population of South Carolina will be after 6 years.

About 3,710,400 people. (400)

Write an equation to model the total charge y (in dollars) in terms of x, the number of miles driven, if a rental company charges a flat fee of $30 and $.25 for each additional mile. (500)

y = 0.25x + 30

Write the equation for Slope- Intercept Form (100)

y = mx + b

(200) In the equation y = mx + b what does “m” stand for?

(200) m = The slope of the line.

What are the two “r” words we use to describe the slope of a line? (300)

Rise Run

In the equation y = mx + b what does “b” stand for? (400)

b = y-intercept = (0, b)

When given an equation such as y = 3x + 2, describe or show us how you go about drawing the line of this equation. (500)

Start by plotting the y- intercept (0, 2). Use the slope to locate the next point. So from (0, 2) you would rise 3 spaces and run 1 space. So your next point would be at (1, 5).

Write an equation in slope- intercept form of the line that passes through the points: (-7, 9) and (-3, 8) (100)

y = -1/4x + 29/4

Write an equation in slope- intercept form of the line that passes through the points: (2, 3) and (4, 3) (200)

y = 3 (200)

Write an equation in slope- intercept form of the line that passes through the points: (5, -10) and (12, -7) (300)

y = 3/7x - 85/7 (300)

Write an equation in slope- intercept form of the line that passes through the points: (-8, 9) and (10, -3) (400)

y = -2/3x + 11/3 (400)

Write an equation in slope- intercept form of the line that passes through the points: (1/2, -1/2) and (1/9, 3/9) (500)

y = -15/7x + 4/7 (500)

(100) Write the equation in slope-intercept form of the line shown in the graph.

(100) y = x + 1

Write the equation in slope-intercept form of the line shown in the graph. (200)

y = -1/3x

Write the equation in slope-intercept form of the line shown in the graph. (300)

x = 4

Write the equation in slope- intercept form of the line shown in the graph. (400)

y = -6

Write the equation in slope-intercept form of the line shown in the graph. (500)

y = 3x + 4

Write the equation of the line that is parallel to y = 6x + 9 and passes through (5, -3). (100)

y = 6x -33

Write the equation of the line that is parallel to y = 2/3x - 2 and passes through (2, 1). (200)

y = 2/3x – 1/3

Write the equation of the line that is parallel to y = x + 4 and passes through (-2, 0). (300)

y = x + 2 (300)

(400) Find the equation of the line that is perpendicular to the line y = 1/2x + 3 and passes through (4, 5).

(400) y = -2x + 13

Find the equation of the line that is perpendicular to the line y = -x + 6 and passes through (-2, -4). (500)

y = x - 2

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