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zimovet [89]
4 years ago
5

1) What is the slope of the line that passes through the pair of points (2, -3) and (5, -4)

Mathematics
1 answer:
Lelu [443]4 years ago
4 0

QUESTION 1: (2, -3) and (5, -4)

<u>Y2 -Y1</u>

X2 -X1

<u>-4 - -3</u>

5 - 2

= - <u>1</u>

    3


QUESTION 2:  (3, -4) Slope = 6

About Point Slope Form:

  • Y -Y1 = m (x - X1)
  • m is the slope
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

Y - -4 = 6 (x - 3)



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Answer:

∠A = ∠C = 60°  

∠B = ∠D = 120°

Step-by-step explanation:

In quad. DPBQ, by angle sum property we have

∠PDQ + ∠DPB + ∠B + ∠BQD = 360°

60° + 90° + ∠B + 90° = 360°

∠B = 360° – 240°

Therefore, ∠B = 120°

But ∠B = ∠D = 120°    opposite angles of parallelogram 

As, AB || CD      opposite sides of a parallelogram

∠B + ∠C = 180°     sum of adjacent interior angles is 180°

120° + ∠C = 180°

∠C = 180° – 120° = 60°

Hence ∠A = ∠C = 60°    Opposite angles of parallelogram are equal

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Answer:

A. The y-intercept of g(x) is less than the y-intercept of f(x).

Step-by-step explanation:

The x-intercept, or when x = 0, of f(x) is -4, the x-intercept of g(x) is -8, so g(x) are neither greater nor equal to f(x), this marks out C and D. The y-intercept, or when y = 0, is in this case f(x) or g(x). The y-intercept of f(x) is 16, the y-intercept of g(x) is 4, so the y-intercept of g(x) is not equal to the y-intercept of f(x), this marks out B. Now to check A, 4 < 16, so y-intercept of g(x) < y-intercept of f(x), the answer is A

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