Question

1. What is the equation in point-slope form of the line that has a slope of 1/3 and passes through the point (12, 5)?

2. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?
3. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?

Answer 1

45

Explanation:

because the mass

Answer 2

The equations of the lines are:

1) y - 5 = (1/3)(x - 12)

2) y + 8 = -4x

Let's find the equations:

To find the equation in point-slope form of the line with slope 1/3 and passing through (12, 5):

Point-slope form: y - y₁ = m(x - x₁)

Plug in the known values: y - 5 = (1/3)(x - 12)

For the line with slope -4 and passing through (0, -8):

Use the same point-slope form: y - (-8) = (-4)(x - 0)

Simplify: y + 8 = -4x

The equation in point-slope form for the second line is y + 8 = -4x.