Find the value of "a" such that the slope of the line between the points (-3,5) and (2,a)is m=-4/3
To find the value of "a" such that the slope of the line between the points (-3, 5) and (2, a) is m = -4/3, we can use the slope formula. The slope formula states that:
m = (y2 - y1) / (x2 - x1)
Let's substitute the given points into the slope formula:
m = (a - 5) / (2 - (-3))
Simplifying further:
m = (a - 5) / 5
Now, we can set the given slope equal to -4/3 and solve for "a":
-4/3 = (a - 5) / 5
To solve for "a", we can cross-multiply:
-4 * 5 = 3 * (a - 5)
-20 = 3a - 15
3a = -5
a = -5/3
Therefore, the value of "a" that makes the slope of the line between the points (-3, 5) and (2, a) equal to m = -4/3 is a = -5/3.