Question

Find the equation of the line specified. The line passes through the points ( -2, 3) and ( -4, 7)

Answer 1

`y=-2x-1`

Explanation:

Let the first coordinate point be (x_1,y_1) and the second coordinate point be (x_2,y_2)

So

x_1 = -2

y_1 = 3

x_2 = -4

y_2 = 7

Now we can use the formula for equation of line to figure it our.

Equation of line formula is
`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Plugging in the known values and arranging in slope-intercept form, we have:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)\\y-3=(7-3)/(-4-(-2))(x-(-2))\\y-3=(4)/(-2)(x+2)\\y-3=-2(x+2)\\y-3=-2x-4\\y=-2x-4+3\\y=-2x-1`

This is the equation of the line passing through the points ( -2, 3) and ( -4, 7)