Write an equation of the line passing through the points (4, 13) and (- 1, - 12).
The equation of the line is 5x-Y=7
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
To find the equation of the line passing through the points (4, 13) and (-1, -12), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates: (x1, y1) = (4, 13) and (x2, y2) = (-1, -12)
m = (-12 - 13) / (-1 - 4)
m = (-25) / (-5)
m = 5
Now that we have the slope, we can use the point-slope form of the equation with one of the points (4, 13) to find the y-intercept (b):
y - y1 = m(x - x1)
y - 13 = 5(x - 4)
y - 13 = 5x - 20
y = 5x - 20 + 13
y = 5x - 7
So the equation of the line passing through the points (4, 13) and (-1, -12) is y = 5x - 7.