Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 08, 2023

Find the values of the constant $c$ and the $y$ -intercept in the linear equation $y=\frac{1}{\sqrt{1}}x+0$ .

STEP 1

Assumptions1. The equation is in the form of a linear equation, $y = mx + c$ , where $m$ is the slope, $c$ is the y-intercept, and $x$ and $y$ are variables. . $\widehat{1}$ and $\hat{0}$ are constants in the equation.

STEP 2

First, we need to identify the slope and the y-intercept in the given equation. In the equation $y = mx + c$ , $m$ is the slope and $c$ is the y-intercept.
The given equation is $y = \frac{\widehat{1}}{\sqrt{1}}x + \hat{0}$ .

STEP 3

Next, we simplify the slope. The slope is given as $\frac{\widehat{1}}{\sqrt{1}}$ .
Since $\sqrt{1} =1$ , the slope simplifies to $\widehat{1}$ .

STEP 4

Now, we identify the y-intercept in the given equation. In the equation $y = mx + c$ , $c$ is the y-intercept.
In the given equation, the y-intercept is $\hat{0}$ .

STEP 5

Therefore, the value of the constant $c$ (the y-intercept) is $\hat{0}$ and the slope (which is not asked for but we calculated for completeness) is $\widehat{1}$ .
The solution is $c = \hat{0}$ .

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