Question

Find the value of x so that the line through (x,3) and (-5,-1) has a slope of 4/5

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Answer 1

The value of x is 0 so that the line through the points (x,3) and (-5,-1) has a slope of 4/5, calculated using the slope formula.

Step-by-step explanation:

To find the value of x so that the line through the points (x, 3) and (-5, -1) has a slope of 4/5, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Here, m = 4/5, y2 = -1, y1 = 3, x2 = -5, and x1 = x. Plugging these values into the slope formula, we get:

4/5 = (-1 - 3) / (-5 - x)

4/5 = -4 / (-5 - x)

Now, multiply both sides by (-5 - x) to solve for x:

4/5 * (-5 - x) = -4

-20/5 - 4x/5 = -4

-4 - 4x/5 = -4

Adding 4 to both sides, we get:

-4x/5 = 0

Finally, multiplying both sides by -5/4 yields:

x = 0

Thus, the value of x is 0.