Question

A: (-1, 2)
B: (0, -1)

Write the equation of the line in slope-intercept form. (1 point)

y = __ x + (__)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the given points A(-1, 2) and B(0, -1).

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Substitute the coordinates of points A and B into the formula:

m = (-1 - 2) / (0 - (-1))
m = (-3) / (1)
m = -3

Now, use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Using point A(-1, 2) as x₁ and y₁, and the slope m as -3:

y - 2 = -3(x + 1)

Simplify the equation:

y - 2 = -3x - 3
y = -3x - 1

Therefore, the equation of the line in slope-intercept form is:

y = -3x - 1