Writing Linear Equations Quiz

1. Write an equation in slope-intercept form for the line that satisfies the following condition.  slope 4, and passes through (2, 20)

2. Write an equation in slope-intercept form for the line that satisfies the following condition.  slope 7/13 and passes through (6, –15)

3. Write an equation in slope-intercept form for the line that satisfies the following condition.  passes through (1, –20) and (18, 3)

4. Write an equation in slope-intercept form for the line that satisfies the following condition.  passes through (2, 7) and (26, 21)

5. Write an equation in slope-intercept form for the line that satisfies the following condition.  x-intercept 12, and y-intercept 13

6. Write an equation in slope-intercept form for the line that satisfies the following condition.  x-intercept 7/13 and y-intercept 7/30

7. Write an equation in slope-intercept form for the line that satisfies the following condition.  passes through (9, –9), parallel to the graph of y = 20/3 x + 10

8. Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (5, 14), parallel to the line that passes through (12, 2) and (35, 19)

9. Write an equation in slope-intercept form for the line that satisfies the following condition.  passes through (–6, 16), perpendicular to the graph of 3x + 13y = 2

Answers (Highlight below)

  1. y = 4x + 12 Substitute the values of the x and y-coordinates in the equation y – y = m(x – x). Manipulate the equation to get it in the slope-intercept form.
  2. y = (7/13)x – 18.23
  3. y = (23/17)x – (363/117)  The equation y – y = m(x – x) gives the equation of the line. Change the left and the right side of the equation to get it in the slope-intercept form.
  4. y = (14/24)x + (140/24)  Change the left and the right side of the equation to get it in the slope-intercept form.
  5. y = (-13/12)x + 13  The equation y = mx + b gives the equation of the line, where b is the y-intercept.
  6. y = (-221/210)x + (17/30)  The equation y = mx + b gives the equation of the line, where b is the y-intercept.
  7. y = (20/3)x – 69  The point-slope form of the equation of a line is y – y = m(x – x), where (x, y) are the coordinates of a point on the line and m is the slope of the line.
  8. y = (17/23)x + (237/23)  The point-slope form of the equation of a line is y – y = m(x – x), where (x, y) are the coordinates of a point on the line and m is the slope of the line.
  9. y = (13/3)x + 42  The point-slope form of the equation of a line is y – y = m(x – x), where (x, y) are the coordinates of a point on the line and m is the slope of the line. The slopes of perpendicular lines are opposite reciprocals.

 

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