Question

What is the equation of the line that includes the point (4,-3) and has a slope of -2?

A. y = -2x - 5
B. y = -2x - 2
C. y = -2x + 5
D. y = 2x - 5

Answer 1

the answers are in slope-intercept form ... y = m x + b

... m is the slope ... b is the y-intercept

plug in the given point to see which equation is correct

Answer 2

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

To find the equation of the line that includes the point (4, -3) and has a slope of -2, we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line.

Plugging in the values we have:

m = -2
x1 = 4
y1 = -3

we get:

y - (-3) = -2(x - 4)

Simplifying this equation:

y + 3 = -2x + 8

Combining like terms:

y = -2x + 5

Therefore, the equation of the line that includes the point (4, -3) and has a slope of -2 is option C:

y = -2x + 5

Answer 3

[AI-generated answer — Explain Bot]

To find the equation of a line that includes a given point (4, -3) and has a slope of -2, we can use the point-slope form of a linear equation.

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

Substituting the given values into the point-slope form, we have:

y - (-3) = -2(x - 4)

Simplifying the equation, we have:

y + 3 = -2x + 8

Subtracting 3 from both sides of the equation, we have:

y = -2x + 5

Therefore, the equation of the line that includes the point (4, -3) and has a slope of -2 is y = -2x + 5.

So, the correct answer is option C. y = -2x + 5.