Write an equation of the line passing through the points (4, 13) and (- 1, - 12).
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form.)
The slope of the line passing through the points (4, 13) and (-1, -12) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the given points:
slope = (-12 - 13) / (-1 - 4)
= -25 / -5
= 5
Using the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can choose either of the given points to plug into the equation. Let's use (4, 13):
y - 13 = 5(x - 4)
Expanding and rearranging the equation:
y - 13 = 5x - 20
y = 5x - 7
The equation of the line passing through the points (4, 13) and (-1, -12) is y = 5x - 7.