Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 27, 2023

Rewrite the linear equation $y = 4x + 5$ in standard form using integers.

STEP 1

Assumptions1. The given equation is in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. . The standard form of a linear equation is $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ and $B$ are not both zero.

STEP 2

The given equation is $y =4x +5$ . To convert this equation into standard form, we need to move the $4x$ term to the left side of the equation. We can do this by subtracting $4x$ from both sides of the equation.
$-4x + y =5$

STEP 3

However, in the standard form, the coefficient of $x$ should be positive. Therefore, we multiply the entire equation by $-1$ to make the coefficient of $x$ positive.
$x - y = -5$ This is the equation in standard form. The solution is $x - y = -5$ .

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