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2 years ago

What’s the slope of the line?

Mathematics

2 answers:

mr Goodwill [35]2 years ago

8 0

Answer:

3/4

Step-by-step explanation:

take rise / run or find 2 points and apply slope formula

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

ivolga24 [154]2 years ago

3 0

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (0, -1)

Point (4, 2)

Step 2: Find slope m

Substitute: $m=\frac{2+1}{4-0}$
Add/Subtract: $m=\frac{3}{4}$

And we have our final answer!

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3 years ago

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

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Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$