Find the slope of a line that passes through (-2,-3) and (1,1).
To find the slope of a line passing through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (-2, -3) and (1, 1). Let's substitute these values into the formula:
slope = (1 - (-3)) / (1 - (-2))
= (1 + 3) / (1 + 2)
= 4 / 3
Therefore, the slope of the line passing through (-2, -3) and (1, 1) is 4/3.
Explanation:
1. Identify the given points: (-2, -3) and (1, 1).
2. Use the slope formula: slope = (y2 - y1) / (x2 - x1).
3. Substitute the coordinates of the points into the formula.
4. Simplify the expression to find the slope.
slope = (change in the y values)/(change in the x values)
make sure you take the difference "in the same direction"
slope = (1 - (-3))/(1 - (-2)) = ..
or
slope = (-3-1)/(-2-1) = ...
you should get the same result