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3 years ago

Write an equation in slope - intercept to represent the relationship in the table

Mathematics

1 answer:

Nataly_w [17]3 years ago

6 0

Pick 2 random ascending x values and calculate the difference delta to get the slope
$\delta \: x = - 2 - ( - 1) = 1$
so your slope is "1"

and as you can see, that x=0 at y=3, so your y-intercept is 3
thats it, your function is
$f(x) = x + 3$

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A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?

pantera1 [17]

"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.

Answer: Option D

Step-by-step explanation:

Given equations:

$y=\left(\frac{1}{2} \times x\right)-3$

$y=\left(-\frac{1}{2} \times x\right)-3$

As we know that the slope intercept form of a line is

y = m x + c

So, from equation 1 and equation 2 we can see that

$m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3$

$m_{2}=-\frac{1}{2} \text { and } c_{2}=-3$

So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.

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kykrilka [37]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

The solution is the point of intersection of the 2 lines

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