 # Linear Algebra Questions

## Question

• Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (2, 3) and (9, 5)

• Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (−2, 1) and (4, −2)

• Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (−9, 3) and (6, −9)

• For the pair of lines, determine whether they are parallel, perpendicular, or intersecting lines that are not perpendicular.
2x − y = 4
8x − 4y = 34

• For the pair of lines, determine whether they are parallel, perpendicular, or intersecting lines that are not perpendicular.
7x − y = 14
3x − y = 17

• Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (4, 2) and is parallel to the line 3x − y = 2

• Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (−3, 7) and is perpendicular to the line
x − 3y = 8

• Write the equation of the line that has the indicated slope, m, and y intercept, b. Express the final equation in slope-intercept form. M=5/3, b = -1

• Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. M= - 1/5, (-8,8)

• Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. M=- 2/3 , (4-3)

• Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 5; (−1, −5)

• Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. M= 1/3, (5,5)

The Next Section is On Graphing

Find the x and y intercepts. (If an answer does not exist, enter DNE. If the x or y intercept is the entire real axis, enter REALS.) y = 9x AND Graph it

Find the x and y intercepts. (. If an answer does not exist, enter DNE. If the x or y intercept is the entire real axis, enter REALS.) y = −x AND Graph it

Find the x and y intercepts. . If an answer does not exist, enter DNE. If the x or y intercept is the entire real axis, enter REALS.) y = −6

Find the x and y intercepts. ( If an answer does not exist, enter DNE. If the x or y intercept is the entire real axis, enter REALS) x = −3

Find the x and y intercepts. (If an answer does not exist, enter DNE. If the x or y intercept is the entire real axis, enter REALS) 8x − 3y = 0

Graph the linear inequality y ≤ −x
Graph the linear inequality. y ≤ 1
Graph the linear inequality. x > −4

## Solution Preview

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Solution:
-2x+7y=17
(you get it as solution of the system of equations when you put coordinates of the given point in y=mx+n:
3=2m+n
5=9m+n
gives m=2/7 and n=17/7)
...
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