What is the slope of the line that passes through the points left bracket, minus, 5, comma, 7, right bracket(−5,7) and left bracket, minus, 2, comma, 4, right bracket(−2,4)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1)/(x2 - x1)
Using the given points (-5,7) and (-2,4), we can substitute these values into the formula:
slope = (4 - 7)/(-2 - (-5))
simplifying the expression inside the numerator and denominator:
slope = (-3)/(-2 + 5)
slope = (-3)/3
Dividing -3 by 3:
slope = -1
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (-5, 7) and (-2, 4), let's substitute the values into the formula:
slope = (4 - 7) / (-2 - (-5))
= (4 - 7) / (-2 + 5)
= -3 / 3
= -1
Therefore, the slope of the line passing through the points (-5, 7) and (-2, 4) is -1.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (-5, 7) and (-2, 4), you can substitute the coordinates into the formula:
slope = (4 - 7) / (-2 - (-5))
Simplifying this expression gives:
slope = (-3) / (3)
The fraction -3/3 can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 3:
slope = -1
Therefore, the slope of the line passing through the points (-5, 7) and (-2, 4) is -1.