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kari74 [83]
2 years ago
5

Which equation matches the graph shown?

Mathematics
2 answers:
timofeeve [1]2 years ago
7 0

Take 2 points

  • (0,-3)
  • (1,1)

Slope:-

\\ \sf\longmapsto m=\dfrac{1+3}{1}=4

Equation of line in point slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y+3=4x

\\ \sf\longmapsto y=4x-3

pogonyaev2 years ago
4 0

Answer:

  • C. y = 4x - 3

Step-by-step explanation:

<u>The line has a positive slope and negative y-intercept.</u>

  • m = 4, b = - 3

This is only matched by a choice C

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Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

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