Question

A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.
y= __x+__

Answer 1

Answer:

y=3 x=1

Step-by-step explanation:

Answer 2

The equation of the linear function is of:

$y = 3x + 1$

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The equation of a linear function, in slope-intercept format, is of:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
• b is the y-intercept, which is the value of x when y = 0.

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• The first step is finding the slope.
• We are going to choose two points (x,y) of the 4 in the table, let's say (1,4) and (3,10).
• The slope is the change in y divided by the change in x, thus:

$m =\frac{10 - 4}{3 - 1} = \frac{6}{2} = 3$

Thus

$y = 3x + b$

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For the intercept, (1,4) means that when x = 1, y = 4, and we use this to find b.

$y = 3x + b$

$4 = 3(1) + b$

$b = 1$

Thus, the equation is:

$y = 3x + 1$

A similar problem is given at https://brainly.com/question/18594541