Question

Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.

y − 1 = 4(x − 3)
y + 1 = 4(x + 3)
y − 3 = 4(x + 1)
y + 3 = 4(x − 1)

Answer 1

y + 1 = 4(x + 3)

Explanation:

Use the point-slope form of the equation of a straight line:

y - k = m(x - h), where (h,k) is a point on the line:

Here,

y + 1 = 4(x+3) (Answer 2 on the list)

Answer 2

y + 1 = 4(x + 3)

Explanation:

The standard form of an equation of a line is:

y mx + c

Given a point (-3, -1) on the line with the slope of line 4, we can find the equation of the line.

y= mx + c

-1 = 4(-3) + c

c = 12 - 1

c = 11

So the equation for this line will be y = 4x + 11.

From the given options, option (b) y + 1 = 4(x + 3) is the correct answer since it gives y = 4x + 11 when simplified.