will give brainliest plz hep!!!!! Which line is a graph of the equation: 2x + 5y = 10? Number graph ranging from negative fiv

Question

will give brainliest plz hep!!!!!
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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    2021-11-23T20:26:46+00:00

    Answer: The equation is of line “b”

    Step-by-step explanation:

    First we find the slope of the given line by using slope intercept form.

    Converting the equation into slope intercept form

       5y=-2x+10

    Divide both side by 5 we get

     y= \frac{-2}{5} x+ 2

    On comparing with

     y =mx+c

    We get slope  m=\frac{-2}{5}

    as the slope of line is negative therefore the line will be either line “b” or line “d”

    As line “b” pass from (0,2)

    On putting point  x=0 &y=2 in given equation we get

     2(0)+5(2)=0+10=10

    Which is equal to RHS of the line

    Therefore the given equation is of line “b”

    Now putting point (0,-2)

    We get  2(0)+5(-2)=-10

    Which is not equal to RHS and therefore line “d” is not the required line

    Therefore the given equation is of line “b”

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