Answer:
y = 2x - 6
Step-by-step explanation:
<h2>Slope intercept form:</h2>
Equation of the line:
Here m is the slope and b is the y-intercept.
Step 1: Find the slope
(3 , 0) ⇒ x₁ = 3 & y₁ = 0
(4 , 2) ⇒ x₂ = 4 & y₂ = 2
<h3> m = 2</h3>
Step2: Now, substitute the value of 'm' in the equation.
y = 2x + b
Step3: In the above equation plug in any point. Here, (3 ,0) is chosed.
0 = 2*3 + b
0 = 6 + b
-6 = b
<h3> b = -6</h3>
Step4: Equation of the line:
<h3> y = 2x - 6</h3>
Answer:
(4, 5)
Step-by-step explanation:
Answer:
We can introduce a variable ( a letter representing an unknown ) to help us solve this question.
Let χ = "a number..."
We can rewrite the sentence in the following way:
7( χ + 2 ) = 8
To solve for χ , we can first distribute 7:
7 ∗ χ + 7∗(2) = 8
7χ + 14 = 8 ⇐ since 7 times 2 is 14
Let's get χ by itself first. We do so by subtracting 14 from both sides of the equation:
7χ + 14 - 14 = 8 - 14
7χ + 0 = -6 ⇐
7χ = -6 ⇐
The last number in our way is that 7. Let's divide both sides by 7 ( which is the same as multiplying both sides by 1 / 7 ) to figure out what χ is:
7χ ∗ ( 1 / 7 ) = -6 ∗ ( 1 / 7 )
χ ∗ ( 7 / 7 ) = - 6 / 7 ⇐
χ ∗ ( 1 ) = - 6 / 7 ⇐
χ = - 6 / 7
Therefore ( we can also use ∴ to represent the word "therefore" ) our number in question is -6 / 7
Step-by-step explanation:
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