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vlada-n [284]
3 years ago
11

How to graph -3x+y=3

Mathematics
1 answer:
nalin [4]3 years ago
5 0
For this question I would put the problem into slope-intercept form or y=mx+b. So add 3x to both sides so that the equation becomes y=3x+3 Then this equation is easier to graph. the y-intercept is 3 so there is a point at (0,3). and the slope is 3 so you would go over 1 up 3. Then connect those points and you have finished the graph. Hope this helps.
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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form
nadya68 [22]

Answer:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1} where two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (15,2.2) and (5,1.6):

m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}

Therefore, the slope of the line is \frac{\displaystyle 3}{\displaystyle 50}. Plug this into y=mx+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

Plug in a given point and solve for b:

1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b

Therefore, the y-intercept is \frac{\displaystyle 13}{\displaystyle 10}. Plug this back into y=\frac{\displaystyle 3}{\displaystyle 50}x+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

I hope this helps!

5 0
3 years ago
Due tomorrow i need help please
photoshop1234 [79]

Answer:

(9,-6)

Step-by-step explanation:

I hoped I helped, have a blessed day

3 0
2 years ago
Read 2 more answers
3a+a+2a-5a? <br><br><br> Can someone give me the answer please? <br><br> Ty
Shkiper50 [21]

Answer:

a

Step-by-step explanation:

=3a + a + 2a - 5a

=4a - 3a

= a

hope it helps u tate!

5 0
2 years ago
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State the range of the relation {(1, -1), (2, 3), (3, 5), (4, 8)}.
DiKsa [7]
The range would be -1 to 8
8 0
3 years ago
I need help with this will be giving 10 points
dusya [7]

Answer:

Its D

Step-by-step explanation:

Both triangles are obtiuse rubber goose green mouse guva juice

8 0
2 years ago
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