Question

What is the equation of the line shown in the graph drag & drop the expressions ro write the equation of the line in slope intercept form (-1,2) (-3,-2)

Answer 1

y = 2(x + 3) + (-2) is the required equation.

Explanation:

Here the given points are A( -1,2) and B(-3-2)

Now, slope of the equation =
`(y_2 - y_1)/(x_2 - x_1)  = (-2 -2)/(-3-(-1))   = (-4)/(-2)   = 2`

Hence, the slope of the equation is m = 2

Now, by POINT SLOPE FORMULA:

The equation of a line with slope m and point (x0, y0) is given as

(y - y0) = m (x -x0)

So, here the equation of line with (-3, -2) is

y - (-2) = 2 (x - (-3))

or, y + 2 = 2(x + 3)

⇒ y = 2(x + 3) + (-2) is the required equation.