First, we need to find the slope of the line. The formula for the slope, given two points (x₁, y₁) and (x₂, y₂), is:
m = (y₂ - y₁) / (x₂ - x₁)
Let's plug in the values we have:
m = (3 - 9) / (-1 - (-2))
m = -6 / (1)
m = -6
Now we can use the point-slope form of the equation of a line to get the equation:
y - y₁ = m(x - x₁)
Let's choose the point (-1, 3) to plug into the equation:
y - 3 = -6(x - (-1))
y - 3 = -6(x + 1)
y - 3 = -6x - 6
y = -6x - 3
Therefore, the equation of the line that passes through the points (-2, 9) and (-1, 3) is y = -6x - 3.
Write an equation of the line that passes through the given points.
(-2,9) and (-1,3)
1 answer