Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 08, 2023

Find the coordinates of point A given that its x-coordinate is 4 and its y-coordinate satisfies the equation $y=x-5$ .

STEP 1

Assumptions
1. Point $\mathrm{A}$ has coordinates $(x, y)$ .
2. The $y$ -coordinate of point $\mathrm{A}$ satisfies the equation $y = x - 5$ .
3. The $x$ -coordinate of point $\mathrm{A}$ is 4.

STEP 2

Substitute the given $x$ -coordinate into the equation to find the $y$ -coordinate.
$y = x - 5$

STEP 3

Now, plug in the given value for the $x$ -coordinate to calculate the $y$ -coordinate.
$y = 4 - 5$

STEP 4

Calculate the $y$ -coordinate.
$y = -1$

STEP 5

Combine the $x$ and $y$ coordinates to form the coordinates of point $\mathrm{A}$ .
$\mathrm{A} = (x, y) = (4, -1)$
Point $\mathrm{A}$ is located at $(4, -1)$ .

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