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

Answer:

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

Step-by-step explanation:

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

Now, slope of the equation = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -2}{-3-(-1)} = \frac{-4}{-2} = 2$

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.