Find the slope ... ...

Graph the linear equation and answer each of the following questions. y=-2x-3

ollegr [7]

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is $m=-\frac{2}{1}$

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

$y=-2x-3$

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

substitute in the linear equation and solve for y

$y=-2(0)-3\\y=-3$

The y-intercept is the point (0,-3)

Part 2) What is the slope (in fraction form)?

we have

$y=-2x-3$

This is the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept

so

$m=-2$

In fraction form is

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

The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

Part 3) Graph the line

To graph the line we need two points

From the y-intercept (0,-3) use the slope to find your next point

The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

The next point is (0+1,-3-2) -----> (1,-5)

so

Plot the points (0,-3) and (1,-5), connect them and graph the line

The graph in the attached figure

4 0

3 years ago

PLEASE YOU CAN ANSWER NUMBER 1 OR 2 OR BOTH PLEASE I JUST NEED HELP WITH BOTH AND NO ONE WILL ANSWER MY QUESTIONS!!!!!!!! :(

Sergeeva-Olga [200]

1.) You plug a number into the variable x. Then you will solve the equation for h(x) to find the time it takes for the rocket to travel the path given.

5 0

3 years ago

Read 2 more answers

The expression 14p - 28 factored using the GCF is

Burka [1]

the factors and prime factorization of 14 and 28. (The biggest common factor number is the GCF number) So the greatest common factor 14 and 28 is 14.Jul

5 0

2 years ago

Graph y=-6(3)^x please do the table and the graph 20 POINTS!

Margarita [4]

Answer:

Explanation to the answer below... (Answers in the Explanation)

Step-by-step explanation:

We Know that our rule is y = $y = -6(3)^{x}$ , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.