Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-9,7), (3,3)
To find the equation in point-slope form, we use the formula:
y - y₁ = m(x - x₁)
where (x₁, y₁) are the coordinates of a point on the line, and m is the slope of the line.
Given the points (-9,7) and (3,3), we can find the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - 7) / (3 - (-9))
m = -4 / 12
m = -1/3
Using the point-slope form, we can use either of the given points to write the equation:
y - 7 = (-1/3)(x - (-9))
y - 7 = (-1/3)(x + 9)
y - 7 = (-1/3)x - 3
To convert the equation into slope-intercept form (y = mx + b), we can rearrange the equation:
y = (-1/3)x - 3 + 7
y = (-1/3)x + 4