Question

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

Answer 1

Answer:

y = -2x + 1

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (1, -1) and (2, -3).

Substitute:

$m=\dfrac{-3-(-1)}{2-1}=\dfrac{-2}{1}=-2$

Put it and the coordinates of the point (1, -1) to the equation of a line:

$-1=-2(1)+b$

$-1=-2+b$          add 2 to both sides

$1=b\to b=1$

Finally:

$y=-2x+1$

Answer 2

is parallel to the -axis. If the coordinates of the points and are (, 2) and (8, 6), respectively, find the value of .