Mathematics
shelshel
20

A line has a slope of -2 and contains the points (3, 5) and (4, y). The value of y is

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(2) Answers
rekeyia21

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

BeataStezzi458

[latex]\sf{Slope =\frac{y_2-y_1}{x_2-x_1}[/latex] The slope is -2. We have two points. (3,5) and (4,y) Plug it in and solve for y. [latex]-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}}[/latex] The value of y is 3.

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