Question

If a line that passes through the coordinates

(a - 1, 2a) and (a, 6) has a slope of 5, what is the
value of a ?

Answer 1

To find the value of a, we can use the slope formula and the given coordinates to set up an equation. Solving the equation will give us the value of a.

Step-by-step explanation:

To find the value of a, we need to determine the slope of the line passing through the given points. The slope formula is given by:

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

Using the coordinates (a - 1, 2a) and (a, 6), we can substitute the values into the slope formula to get:

5 = (6 - 2a)/(a - 1 - a)

Simplifying further, we get:

5 = (6 - 2a)/(-1)

Multiplying both sides by -1, we have:

-5 = 6 - 2a

Finally, solving for a, we get:

a = 11/2