A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points)

1 answer:

6 0

$\text{The slope-intercept form: }y=mx+b\\\text{The point-slope form: }y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\-------------------------------\\\text{We have the points}\ (3,\ 7)\ \text{and}\ (6,\ 9).\ \text{Substitute:}\\\\m=\dfrac{9-7}{6-3}=\dfrac{2}{3}\\\\y-7=\dfrac{2}{3}(x-3)\qquad|\text{use distributive property}\\\\y-7=\dfrac{2}{3}x-2\qquad|+7\\\\\boxed{y=\dfrac{2}{3}x+5}$

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sheila deposits $300.00 in an account that earns 7.5% simple interest how much interest will her money earn in 5 years?

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Calculate the interest for a year
interest/year = percentage × deposit
interest/year = 7.5% × 300
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4 years ago

-x+y=5 4x+y=10 Use addition to solve the linear system of equations. Include all of your work in your final answer

kari74 [83]

Answer:
x = 1
y = 6

Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I

The second given equation is:
4x + y = 10 ..........> II

Add the two equations I and II as follows:
x - y = -5
+ 4x + y = 10
..............................
5x = 5
Therefore:
x = 5/5
x = 1

Substitute with x in equation I to get y as follows:
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Hope this helps :)

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Question 19 makes no sense

gavmur [86]

Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).

g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.

(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0

Thus, the equation of the line in question is y=(-1/5)x - 6.

Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.

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3 years ago