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SLOPE-INTERCEPT
POINT-SLOPE
STANDARD FORM
WORD PROBLEMS
PARALLEL & PERPENDICULAR
100
Write an equation in slope-intercept form given the slope is -2 and the y-intercept is 5
y = -2x + 5 or y = 5 - 2x
100
Write the equation in point-slope form for the line that passes through the point (-3, 5) and has a slope of 7.
y - 5 = 7(x + 3)
100
In standard form, A, B, and C are called...
Coefficients - the number in front of a variable
100
You have a $25 gift card for a bagel shop. A bagel costs $1.25. Write an equation that gives the amount (in dollars) that remains on the card as a function of the total number bagels you have purchased so far.
y = 25 - 1.25x
100
Write the equation of the line that is parallel to y = 3x - 4 and goes through the point (0, -7) in slope-intercept form
y = 3x - 7
200
Write an equation in slope-intercept form for the line that has a slope of 3 and passes through the point (0, 4)
y = 3x + 4
200
Write the equation in point-slope form for the line that passes through the point (5, -1) and has a slope of -2
y + 1 = -2(x - 5)
200
Write the equation of the line that has a slope of 2 and goes through the point (0, 6) in standard form.
-2x + y = 6
200
A bus leaves at 10AM to takes students on a field trip to a historic site. At 10:25 AM, the bus is 100 miles from the site. At 11:15 AM, the bus is 65 miles from the site. The bus travels at a constant speed of 60mph. Write an equation in point-slope form that relates the distance (in miles) from the site and the time (in minutes) after 10 AM.
y - 100 = -0.7(x - 25) or y - 65 = -0.7(x - 75)
200
Write the equation of the line that is perpendicular to the line y = 4x + 5 and goes through the point (0, 3) in slope-intercept form.
y = -1/4 x + 3
300
Write an equation in slope-intercept form for the line that passes through the points (0, -1) and (-3, -4)
y = x - 1
300
Identify the point and the slope of the line given by the equation y + 9 = 4(x - 2)
m = 4; (2, -9)
300
Write the equation of the line in standard form given the equation in point-slope form: y + 2 = 6(x - 5)
-6x + y = - 32
300
You are buying ribbon to make costumes for a school play. Organza ribbon costs $0.07 per yard. Satin ribbon costs $0.04 per yard. Write an equation in standard form to model the possible combinations for yards of ribbon you can buy for $5.
0.07x + 0.04y = 5
300
Write the equation of the line that is parallel to 8x + y = 5 and passes through the point (0, -1) in slope-intercept form
y = -8x - 1
400
Write an equation in slope-intercept form for the line that has a slope of 3 and passes through the point (2, -3).
y = 3x - 9
400
Identify the point and the slope of the line given the equation y + 8 = -(x + 2)
m = -1; (-2, -8)
400
Write the equation of the line in standard form given the slope is -4 and it passes through the point (-2, 10)
4x + y = 2
400
Your science class is taking a field trip to an observatory. The cost of a presentation and a tour of the telescope is $60 for the group plus an additional $3 per person for service fees. Write an equation that gives the total cost, C, as a function of the number of people in the group, p.
C = 3p + 60
400
Write the equation of the line that is perpendicular to the line y = -1/2x + 15 and passes through the point (6, 11) in slope-intercept form.
y = 2x - 1
500
Write an equation in slope-intercept form for the line that passes through the points (3, -1) and (6, 1)
y = 2/3 x - 3
500
Identify the point and the slope of the line in point-slope form: y - 7 = 5(x + 9)
m = 5; (-9, 7)
500
Find the missing coefficient in the equation -4x + By = 7 of the line that passes through the given point (-1, 1)
B = 3; -4x + 3y = 7
500
Perpendicular Lines have what kind of slopes?
Opposite Reciprocal Slopes
500
Write the equation of the line that is parallel to the y = -3/4x + 5 and passes through the point given in the point-slope form equation y - 7 = 3(x - 8) in slope-intercept form.
y = -3/4x + 13