<h2>
Answer:</h2>
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
<u>For slope:</u>
<u />
<u />
Slope (m) = 7
<u>For y-intercept:</u>
<u />
<u />
Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
Formulas:
Slope formula: <em>y₂ - y₁/x₂ - x₁</em>
Slope-intercept form: <em>y = mx + b</em>
Point-slope form: <em>y - y₁ = m(x - x₁)</em>
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*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>
Answer: 60% = 60/100 = 60 ÷ 100 = 0.6. 100% = 100/100 = 100 ÷ 100 = 1.
Step-by-step explanation: Decrease number by 60% of its value. Percentage decrease = 60% × 150 New value = 150
Answer:
Option D. y = 5x + 1
Step-by-step explanation:
From the question given above, the following data were:
Input (x) >>>>>> Output (y)
0 >>>>>>>>>>>> 1
1 >>>>>>>>>>>> 6
2 >>>>>>>>>>>> 11
3 >>>>>>>>>>>> 16
4 >>>>>>>>>>>> 21
To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:
For Option a
y = 3x + 3
x = 0
y = 3(0) + 3
y = 0 + 3
y = 0
y = 3x + 3
x = 1
y = 3(1) + 3
y = 3 + 3
y = 6
For Option b
y = 5x – 4
x = 0
y = 5(0) – 4
y = 0 – 4
y = – 4
y = 5x – 4
x = 1
y = 5(1) – 4
y = 5 – 4
y = 1
For Option c
y = 10x – 9
x = 0
y = 10(0) – 9
y = 0 – 9
y = – 9
y = 10x – 9
x = 1
y = 10(1) – 9
y = 10 – 9
y = 1
For Option d
y = 5x + 1
x = 0
y = 5(0) + 1
y = 0 + 1
y = 1
y = 5x + 1
x = 1
y = 5(1) + 1
y = 5 + 1
y = 6
From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.
The lenght of each diagonals is 1.
