# Homework for Algebra - Graphs Slopes and intercepts

*label*Mathematics

*timer*Asked: Dec 16th, 2017

*account_balance_wallet*$20

**Question description**

Homework for Algebra 20 simple brief questions about 5 of them you need to line on a graph, the rest is simple problems shouldn't take more than 2 hours at most to finish.

## Tutor Answer

Here is my answer :)

Sketch the graph of each line.

1) 0 = -2y - 2 - 3x

2) -5 + y + 7x = 0

3) -12 = -12x + 3y

Write the slope-intercept form of the equation of the line through the given point with the given

slope.

4) through: (4, -3), slope = - 5/ 4

5) through: (-4, -1), slope = 1 /4

Write the slope-intercept form of the equation of the line through the given points.

6) through: (-3, -4) and (2, 3)

Using the second point

7) through: (4, 0) and (0, -3)

Using the second point

8) through: (-3, -2) and (3, -1)

Using the second point

9) through: (-1, 4) and (-4, 3)

Using the second point

10) through: (3, -5) and (3, -3)

Write the slope-intercept form of the equation of the line described.

11) through: (3, 1), parallel to y = 1/ 3 x + 4

If the line is parallel it has the same slope so

12) through: (-5, -5), parallel to y = 1/5 x + 5

If the line is parallel it has the same slope so

13) through: (5, 4), perp. to y = -5x – 4

If the line is perpendicular it has the slope as

14) through: (2, 3), perp. to y = - 2/7 x - 3

If the line is perpendicular it has the slope as

15) Find the value of a such that the graphs of

5y = ax + 5 and 1/ 4 y = 1/10 x - 1 are parallel

First we put the second equation into slope form to find the slope

So the slope is 2/5. If the two lines are parallel they will have the same slope. We put the fist

equation in the slope form:

So a/5 has to be equal to 2/5 that is the slope for the two equations, because they are parallel.

Then value a is:

16) Find the value of k such that the graphs of x + 7y = 70 and y + 3 = kx are perpendicular.

First we put the first equation into slope form to find the slope

So the slo...

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