Question

Find the point-slope equation of the line with slope -3 that passes through the point (2,-10).

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point-slope equation of a line is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Using the given slope m = -3 and the point (2, -10), we substitute these values into the point-slope equation to get:

y - (-10) = -3(x - 2)

Simplifying:

y + 10 = -3x + 6

Moving 10 to the other side:

y = -3x + 6 - 10

Simplifying further:

y = -3x - 4

Therefore, the point-slope equation of the line with slope -3 that passes through the point (2, -10) is y = -3x - 4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the point-slope equation of a line, you need the slope of the line and one point that lies on the line.

Given:
Slope (m) = -3
Point (x1, y1) = (2, -10)

The point-slope equation of a line is given by:
y - y1 = m(x - x1)

Substitute the values into the equation:
y - (-10) = -3(x - 2)

Simplify the equation:
y + 10 = -3x + 6

The point-slope equation of the line with slope -3 and passing through the point (2, -10) is:
y + 10 = -3x + 6

Answer 3

[AI-generated answer — Explain Bot]

To find the point-slope equation of a line, we need the slope of the line and a point that lies on the line.

Given that the slope of the line is -3 and it passes through the point (2, -10), we can use the point-slope form of a linear equation.

The point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Let's substitute the values into the equation:

y - (-10) = -3(x - 2)

Simplifying the equation:

y + 10 = -3x + 6

Now, let's isolate y on one side of the equation:

y = -3x + 6 - 10

y = -3x - 4

Therefore, the point-slope equation of the line with a slope of -3 that passes through the point (2, -10) is y = -3x - 4.