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.
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