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
A: (-1, 2)
B: (0, -1)
Write the equation of the line in slope-intercept form. (1 point)
y = __ x + (__)
1 answer
1 answer