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3 years ago

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4y=

Mathematics

1 answer:

stellarik [79]3 years ago

3 0

Correct answer: y = $\frac{1}{3}$ x + 2

To find out the slope, you would need to remember this slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as $x_{1}$ and $y_{1}$ , and (0, 2) as $x_{2}$ and $y_{2}$ . Now we can plug these numbers into the slope formula to find out the slope:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ → $\frac{2-3}{0-3}$ → $\frac{-1}{-3}$ → $\frac{1}{3}$

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = $\frac{1}{3}$ (3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = $\frac{1}{3}$ and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = $\frac{1}{3}$ x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

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kolbaska11 [484]

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$a_n=5-2(n-1)$ , all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

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a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=5\\a_2=3$

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

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substitute the given values in the formula

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3 years ago

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Read 2 more answers

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4y=​

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4y=