Write an equation of the line that passes through the given points.

(-1,7) and (3,-9)

The equation is

​(Type your answer in​ slope-intercept form.)

1 answer

The slope of the line passing through the given points can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates of the two points (-1,7) and (3,-9), the slope is:

slope = (-9 - 7) / (3 - (-1))
slope = (-16) / (3 + 1)
slope = -4

Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point on the line. We can choose either of the given points to make calculations easier. Let's choose (-1,7).

y - 7 = -4(x - (-1))
y - 7 = -4(x + 1)
y - 7 = -4x - 4
y = -4x + 3

Therefore, the equation of the line passing through the given points is y = -4x + 3.