38.2k views
4 votes
The gradient of a line passing through the points ( M(3, y) ) and ( N(x, -5) ) is ( )(-7)(8) ). Find the value of ( x ) and ( y ).

a) ( x = ) 26/3 ), ( y = ) 19/3 )

b) ( x = ) 3/26 ), ( y = -) 19/3 )

c) ( x = -) 26/3 ), ( y = ) 19/3 )

d) ( x = ) 26/3 ), ( y = -) 19/3 )

1 Answer

2 votes

Final answer:

To find the value of x and y, we can use the formula for the gradient of a line passing through two points.

Step-by-step explanation:

To find the gradient (slope) of a line passing through two points, you can use the formula:

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

Given the points (M(3, y)) and (N(x, -5)), we can substitute the coordinates into the formula:

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

Since the given gradient is -7, we can set that equal to the formula:

-7 = (y - (-5)) / (x - 3)

Solving for y, we find y = -7x + 26. Substituting this value back into the formula, we get:

-7 = (-7x + 26 - (-5)) / (x - 3)

Simplifying and solving for x, we find x = 26/3. Substituting x = 26/3 into the equation for y, we find y = 19/3.

User DavidF
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories