Question Does $(-2,5)$ satisfy $y=-5x$ ?

Studdy Solution

STEP 1

Assumptions1. The point in question is $(-,5)$ . The equation to be checked is $y=-5x$

STEP 2

We can check if a point satisfies an equation by substituting the x and y coordinates of the point into the equation and checking if both sides of the equation are equal.
The equation is $y=-5x$ .

STEP 3

Substitute $x=-2$ and $y=5$ into the equation.
$5 = -5(-2)$

STEP 4

Calculate the right side of the equation.
$= -(-2) =10$

STEP 5

Compare the left side and the right side of the equation. If they are equal, then the point satisfies the equation. If they are not equal, then the point does not satisfy the equation.
In this case, $5 \neq10$ , so the point $(-2,5)$ does not satisfy the equation $y=-5x$ .
The answer is "no".

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