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[tex]\huge \bf༆ Answer ༄[/tex]
Question ~ 1
Let's Graph the line ~
first find the acceptable ordered pairs for the equation.
Like ~
when x = 0, value of y is ~
- [tex] \sf y = (2 \times 0) + 3[/tex]
- [tex] \sf y = 3[/tex]
So, first ordered pair is ~ (0 , 3)
Second one, when x = 3, value of y is ~
- [tex] \sf \: y = (2 \times 3) + 3[/tex]
- [tex] \sf \: y = 6 + 3[/tex]
- [tex] \sf y = 9 [/tex]
The other ordered pair is (3 , 9)
Now, mark the points on graph and join the points, the line joining the points will be the required line.
Question ~ 2
The number of pages he reads everyday is 30
The number of days he read the book = x
Let the number of pages left be y
now, according to given information, we can interpret the equation as ~
- [tex] \sf y = 450 - 30x [/tex]
Rearrange it, we will get ~
- [tex] \sf y = - 30x + 450 [/tex]
Here, the slope is -30, and y - intercept is 450
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