Question

Draw the graph using the values of x, y as given in the table and write its linear equation. x 0 -28 -14 y 10 0 5

Answer 1

Step-by-step explanation:

Given that:

Draw the graph using the values of x, y as given in the table and write its linear equation.

$\begin{tabular}{|c|c|}\cline{1-2}x&y\\\cline{1-2}0&10\\\cline{1-2}-28&0\\\cline{1-2}-14&5\\\cline{1-2}\end{tabular}$

To find : Graph and linear equation

Solution:

1) Draw the points on the graph and join these points

Let A(0,10)

B(-28,0)

C(-14,5)

Graph of line is attached.

2) Find linear equation:

Equation of line passing through two given points

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

Let A(0,10):(x1,y1)

B(-28,0):(x2,y2)

$y - 10 = \frac{0 - 10}{ - 28 - 0} (x - 0) \\ \\ y - 10 = \frac{ - 10x}{ - 28} \\ \\ y - 10 = \frac{5x}{14} \\ \\ 14y - 140 = 5x \\ \\ 14y - 5x - 140 = 0 \\ \\ \bold{5x - 14y + 140 = 0}$

Thus

equation is 5x-14y+140=0

Hope it helps you.