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)