Question

Draw the graph of the equation 2x-y+3=0. Using the graph find the value of y when (a) x=2 (b) x=-3.

Answer 1

SOLUTION

TO DETERMINE

• The graph of the equation 2x-y+3=0

• Using the graph find the value of y when (a) x=2 (b) x=-3.

EVALUATION

$\sf{An \: equation \: of \: the \: form \: \: ax + by + c = 0 \: }$

is a equation of the Straight line

Now the given equation of the line

$\sf{2x - y + 3 = 0 \: \: \: \: ....(1)}$

GRAPH

The graph of the line is referred to the attachment

WHEN (a) x = 2

From the graph we observe that

OA = x = 2

Then AB = y = 7

Hence for x = 2 we get y = 7

WHEN (b) x = - 3

From the graph we observe that

OC = x = - 3

Then CD = y = - 3

Hence for x = - 3 we get y = - 3

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