1. write the equation in slope-intercept form. identify the slope and y-intercept. show all work
2x - 3y = 9
2. write the equation in slope-intercept form. identify the slope and y-intercept. show all work
x - 4y = -20
3. find the x- and y-intercepts for -x + 4y = 12. write each intercept as a unique ordered pair. show all work
4. y = 2/3x + 7 written in standard form using integers is 3x - y = 21.
a) true
b) false
5. write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.
a) y= 2/5x−6
b) y=6x−2/5
c) y=5/2x−6
d) y=1/6x−5/2
6. write the equation of a line that is perpendicular to the given line and that passes through the given point.
x + 8y = 27; (–5, 5)
a) y=-1/8x-45
b) y=1/8x+45
c) y=8x+45
d) y=-8x+45
7. are the graphs of the lines in the pair parallel? explain.
y = 8/3x+ 19
8x – 3y = 17
a) yes, since the slopes are the same and the y-intercepts are different.
b) no, since the y-intercepts are different.
c) yes, since the slopes are the same and the y-intercepts are the same.
d) no, since the slopes are different.
8. a line passes through (2, –1) and (8, 4).
a. write an equation for the line in point-slope form. (2 points)
b. rewrite the equation in standard form using integers. (2 points)
show all work
9. write at least one complete sentence with a capital letter and punctuation describing slope and how to find it.
10. find the slope of the line passing through the points (-3, -1) and (-1, 5). show all work
11. write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = - 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)