Question

Draw the graph of y = 2x + 4. Use the graph to find the area between the line and the
axes

Answer 1

${\large{\pmb{\sf{\underline{Required \; Solution...}}}}}$

✯This question says that we have to draw a graph of an equation y = 2x+4. Then by using that graph we have to find the area between the line and the axes. Let us solve this question properly!

✯ The graph of the equation y = 2x+4 is given in the attachment. See the attachment 1 properly!

✯ Now let's find out the area between the line and the axes:

• As we are able to see in the graph(attachment 2) that the shaded part by me is looking like a right angle traingle. Yes it is true that is a right angle traingle. Shaded area by me is that part of the graph that show the area between the line and the axes. So to solve this we have to use the formula to find out the area of triangle.

${\small{\boxed{\underline{\sf{Area \: of \: traingle \: = \dfrac{1}{2} \times Base \times Height}}}}}$

$\quad \quad \quad{\pmb{\frak{Here,}}}$

● Base is 2

● Height is 4, we cannot take it as negative here as it is height of triangle.

${\sf{:\implies Area \: of \: traingle \: = \dfrac{1}{2} \times Base \times Height}}$

${\sf{:\implies Area \: of \: traingle \: = \dfrac{1}{2} \times 2 \times 4}}$

${\sf{:\implies Area \: of \: traingle \: = \dfrac{1}{2} \times 8}}$

${\sf{:\implies Area \: of \: traingle \: = 4 \: unit \: sq.}}$