Question

5 A line passes through the point (-4,-1) and has a slope of 4 Write an equation in point-slope form for this line.​

Answer 1

Answer:

y + 1 = 4(x + 4)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

• point: (-4, -1)
• slope (m): 4

The standard point-slope equation is

• y - y₁ = m(x - x₁)

Plug in what you know.

• y - (-1) = 4(x - (-4))

Simplify.

• y + 1 = 4(x + 4)

This is your equation.

Hope this helps!

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Answer 2

The linear equation in point-slope form is y + 1= 4(x + 4)

How to determine the equation of the line

A linear equation is calculated using the following equation:

y - y1= m(x - x1)

From the question, we have:

Slope (m) = 4

(x1,y1) = (-4,-1)

So, the equation becomes

y + 1= 4(x + 4)

Hence, the linear equation in point-slope form is y + 1= 4(x + 4)

Read more about linear equations at:

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