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2 years ago

Find the slope of the graphed line.

Mathematics

1 answer:

gayaneshka [121]2 years ago

5 0

Answer:

3/4 shall be our slope.

Step-by-step explanation:

You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.

Your coordinates:

(-4,0) and (0,3)

You have to set up your formula:

3 is the y2 and 0 is the y1

3-0 for y so far.

Now, set up the x's

0 is our x2 more known as our second x

Then our x1 is -4

0 - (-4).

Our Formula:

3-0 / 0+4

**Notice the negatives canceled to a positive due to the rule.**

3/4 shall be our slope.

You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.

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Solve using substitution x=(3y+1) and x+4y=15

natka813 [3]

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

$x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2$

Putting x = 3y+1 in equation 2 from equation 1

$3y+1+4y = 15\\7y+1 = 15\\$

Subtracting 1 from both sides

$7y+1-1 = 15-1\\7y = 14$

Dividing both sides by 7

$\frac{7y}{7} =\frac{14}{7}\\y = 2$

Putting y=2 in equation 1

$x = 3(2) +1\\x = 6+1\\x = 7$

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

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