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SLOPE INTERCEPT and POINT SLOPE FORM
SLOPE-INTERCEPT
POINT-SLOPE
Write the equation of the line (in slope-intercept form and point-slope form) given the graphs below.
SLOPE-INTERCEPT: __________________________
POINT SLOPE: _____________________________
SLOPE-INTERCEPT: __________________________
POINT SLOPE: _____________________________
SLOPE-INTERCEPT: __________________________
POINT SLOPE: _____________________________
SLOPE-INTERCEPT: __________________________
POINT SLOPE: _____________________________
Writing Equations Given a Point and a Slope
Find the equation of a line with a slope of ¾ that
passes through (8, 9).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
Even though we don’t have the y-intercept, we can
find it using y = mx +b. How?
Try Some!
1. Find the equation of a line with a slope of -5 and passes through the point (-2,4).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
2. Find the equation of a line with a slope of 1 and passes through the point (0,2).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
3. Find the equation of a line with a slope of 0 and passes through the point (-4,-1).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
Writing Equations Given Two Points
Find the equation of a line that passes through
the points (1, 3) and (4, 5).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
Try Some!
1. Find the equation of the line that passes through the points (-6,3) and (-4,2).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
2. Find the equation of the line that passes through the points (3,6) and (2,-5).
POINT-SLOPE FORM
SLOPE-INTERCEPT FORM
Graphing Practice
1. 𝑦 = −2𝑥 + 3
1
2. 𝑦 − 5 = 2 (𝑥 + 1)
Word Problems
1. For one taxi company, the cost y, in dollars, of a taxi ride is a linear function of the distance, x, in miles
traveled. The initial charge is $2.50 and the charge per mile is $0.35. Find the slope and y-intercept of
the graph and write an equation in slope intercept form. If my total cost is $6.00, how many miles did
I travel?
2. A roller skating rink offers a special rate for birthday parties. On the same day, a party for 10 skaters
costs $107 and a party for 15 skaters costs $137. Write an equation in point-slope form. How much
would a party for 12 skaters cost?
Standard Form
STANDARD FORM
Write an equation in standard form for each line.
1. Slope is 2 and (-2, 2) is on the line.
2. Slope is 5 and (0, 7).
3. (-2, -1) and (0, 4) are on the line.
4. (1, 5) and (-10, -6) are on the line.
POINT-SLOPE
SLOPE-INTERCEPT
STANDARD FORM
Converting Between Forms
Given one form of a linear function, write the function in the other two forms.
1. 8𝑋 − 𝑌 = −17
2. 𝑦 + 4 =
−2
7
1
3. 𝑦 = 5𝑥 + 4
(𝑥 − 7)