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natali 33 [55]
2 years ago
12

The lines given by the equations y = 2x and y= 2x + 1 are

Mathematics
1 answer:
Elan Coil [88]2 years ago
7 0
A. is the answer i’m pretty sure
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HELP ME HELP ME please !!! 10 points
USPshnik [31]

Answer:

The slope is \frac{3}{2}

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ m=\frac{15-12}{4-2}=\frac{3}{2}

∴ m = \frac{3}{2}

∴ The slope is \frac{3}{2}

→ Substitute its value in the form of the equation above

∴ y = \frac{3}{2} x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = \frac{3}{2} (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

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