All categories

3 years ago

Graph 3x + y = -2 .................................................

Mathematics

1 answer:

nikdorinn [45]3 years ago

7 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

A graphing calculator does this very nicely.

The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.

y = -3x -2

Positive values for y will require negative values of x.

You might be interested in

Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

This point is on the graph

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

This point is not on the graph

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

This point is not on the graph

$(\frac{4}{8},\frac{2}{8})$

$x = \frac{4}{8}$ and $y = \frac{2}{8}$

Substitute $\frac{4}{8}$  for x and  $\frac{2}{8}$ for y in $y = \frac{1}{2}x$

$\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$

$\frac{2}{8} = \frac{1 * 4}{8 * 2}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{1}{4} = \frac{1}{4}$

This point is on the graph

3 0

3 years ago

Estimate then record 721×8

Hitman42 [59]

721*8= 5768.................

8 0

3 years ago

Read 2 more answers

Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th

frosja888 [35]

the answer is $60.30 because half of 100.50 is 50.25 and the both would pay 10%. 10% of 100.50 is 10.05.

10.05+50.25= 60.30

4 0

3 years ago

5, 6, 10 Question: A. Determine whether the side lengths form a triangle. (explain your reasoning) B. If it is a triangle, deter

expeople1 [14]

Answer:

The right answer is C

Step-by-step explanation:

3 0

3 years ago

Mr. Green is putting lights around 8 windows; each window is 3.5feet wide and 5 feet long. How many feet of light does he need?

zmey [24]

We must find the perimeter of all eight windows. To make it simpler for us, let's find the perimeter of one window and multiply it by 8.

2*3.5 + 2*5 = 7 + 10 = 17

17*8 = 136

Hope this helps!

6 0

4 years ago