Is this table linear?

A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept form.

trapecia [35]

Answer: y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Step-by-step explanation:

Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

We are given the slope, so we will plug this in.

y = mx + b

y = ( $\frac{1}{4}$ )x + b

Now, we will solve for the y-intercept by plugging in the point they give us.

y = ( $\frac{1}{4}$ )x + b

(-2) = ( $\frac{1}{4}$ )(5) + b

-2 = 1.25 + b

-3 $\frac{1}{4}$ = b

Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Read more about writing a slope-intercept form equation for this problem here:

brainly.com/question/13874293

4 0

2 years ago

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Q10. Consider the following algorithm:

maw [93]

Answer:

61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

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The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.