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KaseyT
06.07.2019 •
Mathematics
Which line is a graph of the equation: 2x + 5y = –10? number graph ranging from negative five to five on the x axis and negative six to two on the y axis. four lines are drawn in blue on the graph. lines a and c have a positive slope and are parallel to each other. lines b and d have a negative slope and are parallel to each other. lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two). a. line a b. line b c. line c d. line d
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Ответ:
First we find the slope of the given line by using slope intercept form.
Converting the equation into slope intercept form
Divide both side by 5 we get
On comparing with![y=mx+c](/tpl/images/0059/4407/16d0d.png)
We get slope![m=-\frac{2}{5}](/tpl/images/0059/4407/49660.png)
as the slope of line is negative therefore the line will either "b" or "d"
As line "b" pass from (0,2)
On putting it in given equation we get
Which is not equL to RHS of the line
Therefore b is not the given line
Now putting point (0,-2)
We get![0+5(-2)=-10](/tpl/images/0059/4407/9ba49.png)
Satisfy the equation and line "d" pass from it
There the give equationis of line "d"
Ответ:
So small
Step-by-step explanation: