Intermediate Algebra Problems With Answers - Sample 7 - Slopes of Lines

A set of intermediate algebra problems, related to slopes of lines, with answers, are presented. The solutions are at the bottom of the page.

Find the slopes of the lines given by the following equations

a) 2x + 3y = 2

b) y = 2

c) x = 4

Find the slopes of the lines through the points A and B given by

a) A(2 , 1) , B(3 , 4)

b) A(3 , -4) , B(5 , -4)

c) A(2 , -6) , B(2 , -7)

Find the slopes of the lines

a) parallel to the line whose equation is given by 5x - 3y = -3

b) perpendicular to the line whose equation is given by -4x - 8y = -3

c) parallel to the line whose equation is given x = 2

d) perpendicular to the line whose equation is given by x = -9

e) parallel to the line whose equation is given y = 3

f) perpendicular to the line whose equation is given by x = 0

Find the slope of each of the lines graphed below.

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Find the value of k so that the slope of the line through the points (4 , 2) and (k , 6) is equal to -2.

Find the value of a so that the lines with equations 2y + ax = 2 and 3x - 2y = 6 have equal slopes.

Find the value of m so that the lines with equations -3y + 2x = 4 and mx + 2y = 3 are perpendicular.

The oil consumption of a certain country was 330 thousands barrels per day in 2004 and 450 thousands barrels per day in 2006. Assume that the oil consumption in this country increases linearly and estimate the oil consumption in 2015.

A family spent $3600 on food last year and $3000 the year before the last. Assume that the spending on food of this family increases linearly and estimate their spending on food this year.

To convert the measure of temperature given in degree Fahrenheit T_{f} into degree Celcius T_{c} you may use the formula given by

T_{c} = (5 / 9)(T_{f} - 32)

If the temperature of an item increases by 9 degree Fahrenheit, by how many degrees Celcius has the temperature of this item increased?

To convert the measure of temperature given in degree Celcius T_{c} into degree Fahrenheit, you may use the formula given by

T_{f} = (9 / 5)T_{c} + 32

If the temperature of an item increases by 10 degree Celcius, by how many degrees Fahrenheit has the temperature of this item increased?