Question

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6. (1 point)

Answer 1

y = mx + b

m = slope

b = y-intercept

y = -6x - 15

Answer 2

`y=-6x-15`

Explanation:

Using slope-intercept form:

The equation of line is given by:

`y=mx+b` .....[1]

where

m is the slope

b is the y-intercept.

As per the statement:

The line passing through the point (−2, −3) with a slope of −6

⇒m = -6

Substitute in [1] we have;

y = -6x+b

Now, to find b:

Substitute a point (-2, -3) we have;

-3 = -6(-2)+b

-3 = 12+b

Subtract 12 from both sides we have;

-15 = b

⇒
`y=-6x-15`

Therefore, an equation of line passing through the point (−2, −3) with a slope of −6 is,
`y=-6x-15`