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If the points (2,3) and (5,y) lie on a line whose slope is -7/6, what does y equal?

1 Answer

3 votes

Answer:


y=-(1)/(2)=-0.5

Explanation:

Given points :

(2,3) and (5,y)

Slope of line =
-(7)/(6)

To find the value of
y.

We will apply the slope formula to find slope using the given points.

Slope
m of a line with points
(x_1,y_1) and
(x_2,y_2) is given by:


m=(y_2-y_1)/(x_2-x_1)

Plunging in the given points (2,3) and (5,y) in the formula.


m=(y-3)/(5-2)


m=(y-3)/(3)

We know the slope of line =
-(7)/(6)

So, we will equate and solve for
y


(y-3)/(3)=-(7)/(6)

Multiplying both sides by 6 to remove fractions.


6* (y-3)/(3)=6*-(7)/(6)


2(y-3)=-7

Using distribution.


2y-6=-7

adding 6 both sides.


2y-6+6=-7+6


2y=-1

Dividing both sides by 2.


(2y)/(2)=-(1)/(2)


y=-(1)/(2)=-0.5 (Answer)

User Alexander Pletnev
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