Writing Equations Of Lines Question Preview (ID: 51968)


Writing Equations Of Line From Slopes, Y-intercepts, And Given Points. This Also Has 2 Questions Relating Aspects Of Linear Equations To Real Life Situations. YOU MAY WANT PAPER AND PENCIL AVAILABLE. TEACHERS: click here for quick copy question ID numbers.

Write the equation of a line through (2, -1) and (8, 4) in standard form.
a) 5x - 6y = 16
b) -5x + 6y = 16
c) 5x - 6y = 17
d) -5x + 6y = 17

Find the equation of the line in point-slope form for the line through (10, -9) with a slope of -2.
a) y - 10 = -2(x + 9)
b) y + 9 = -2(x - 10)
c) y - 9 = -2(x - 10)
d) y - 9 = -2(x + 10)

A pool is being drained and the independent variable is time. If it starts with 1400 gallons of water and at 10 hours has 400 gallons left and at 14 hours has 0 gallons left in the pool, what is the y-intercept of the equation?
a) 10 hours
b) 1400 gallons of water
c) -100 gallons per minute
d) 1400 gallons per minute

Write the slope intercept form of the equation of the line with the same slope as 2x - 5y = 12 and the same y-intercept as 4y + 24 = 5x.
a) y = 6x - 2/5
b) y = 2/5 x - 6
c) y = 5/2 x - 6
d) y = 1/6 x - 5/2

Write the equation of the line through (1, -5) and (-3, 7) in slope-intercept form.
a) y = 3x + 8
b) y = 1/3 x + 8/3
c) y = 1/3 x + 16/3
d) y = -3x - 2

If you run 7 miles in one hour and 21 miles in three hours, what is the rate of change for the equation?
a) b = 21 miles per hour
b) b = 7 miles
c) m = 7 miles per hour
d) m = 3 miles per hour

Write the equation of a line in point-slope form for the line through (4, -6) with a slope of 3/5 .
a) y + 6 = 3/5 x - 4
b) y - 6 = 3/5(x + 4)
c) y + 6 = 3/5 (x - 4)
d) y - 4 = 3/5( x + 6)

Write y = 2/3 x + 7 in standard form.
a) -2x + 3y = 7
b) 3x - 2y = 21
c) -2x - 3y = 21
d) 2x - 3y = -21

Write an equation of a line with m = 1 and b = 4.
a) y = 4x + 1
b) y = x - 4
c) y = -x + 4
d) y = x + 4

Write an equation of a line with slope of 1/4 and a y-intercept of -3/4 in standard form.
a) y = 1/4 x - 3/4
b) y - 1 = 1/4(x - 7)
c) x - 4y = 3
d) -1/4 x + y = -3/4

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