Question

6. Write the equation of the line below. 1-10 7 6 5 3 2 का 2 3 4 5 6 7 8 9 10

Answer 1

Let the two points in the graph are (0,7) and (1,3).

Then, the slope of the line is,

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{3-7}{1-0} \\ m=-4 \end{gathered}$

Use the equation y=y1=m(x-x1) to find the equation of the line.

$\begin{gathered} y-7=-4(x-0)\text{.} \\ y-7=-4x \\ y=-4x+7 \end{gathered}$

Therefore, the equation of the line is y=-4x+7.