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taskmasters

If you are given two points and
a line passes through it, use the two point slope form. Let us denote m as -2, x1
as 3, x2 as 4, y1 as 5 and y2 as y. However, in this problem, the y in the
second point is unknown. And so you will use the slope formula.



m (slope) = y2 - y1/x2 – x1


-2 = y – 5/4 – 3


-2 = y – 5/1


y – 5 = -2


y = -2 + 5

y = 3

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\(\sf{Slope =\frac{y_2-y_1}{x_2-x_1}\)

The slope is -2.
We have two points. (3,5) and (4,y)

Plug it in and solve for y.

\(-2 =\frac{y -5}{4-3} \\\\-2 =\frac{y-5}{1}\\\\-2 =y -5\\\\y -5 = -2\\\\y -5 + 5 = -2 + 5\\\\y = -2 + 5\\\\\boxed{\bf{y=3}}\)

The value of y is 3.

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