Answer to Question #103498 in Algebra for asmaa

Question

Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form.
(2, 1), (11, 10)

Answer 1

In the given question there are two points indicated, take them as A(2,1) and B (11,10),

so we have to find the equation of line passing through these points.

We know the general formula of equation of line passing through two point

(y-y₁)= $\frac{ y_2-y_1}{x_2-x_1} (x-x_1)$

here $x_1= 2, x_2= 11, y_1=1,y_2=10$

now put these values in the above equation,

we get

$(y-1) = \frac{10-1}{11-2} (x-2)$

(y-1)= $\frac{9}{9} (x-2)$

(y-1)=1(x-2)

y-1=x-2 is equation of the line, but we have to represent it in the general form

and we know that general equation of line is y= mx+c.

Here, m= slope and c= intercept,

so, we can arrange it in general form

y-1= x-2

y= x-2+1

y=x-1 is standard equation of the line.