Question

PLEASE HELPPP MEEEEE

Answer 1

7.

The required equation of the line is y= 2x-5

8.

y=30

Step-by-step explanation:

Given , a line passes through the points (1,-3) and (3,1)

The equation of line which passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$y - y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Here $x_1 = 1 , y_1= -3$     and      $x_2 = 3 , y_2= 1$

The required equation of the line is

$y+3=\frac{1+3}{3-1} (x-1)$

$\Leftrightarrow y +3 =2(x-1)$

$\Leftrightarrow y =2x-2-3$

$\Leftrightarrow y =2x-5$

8.

Given, y varies directly with x and y=24 when x=8

Therefore,

$y\propto x$

$\Rightarrow y = kx$.........(1)

y = 24 when x=8

$\therefore 24 = 8k$

$\Rightarrow k =3$

Equation (1) becomes

y= 3x

So, when x=10

y=3×10

⇒y=30