Question

How do you write $y + x = 3$ into slope intercept form?

Answer 1

Here, we will use the general formula of slope intercept form to rewrite the given equation of line in the slope intercept form. A slope is defined as the ratio of change in the $y$ axis to the change in the $x$ axis. A Slope can be represented in the parametric form and in the point form

Complete step by step solution:
We are given with an equation $y + x = 3$.
The Slope- Intercept form is given by the formula $y = mx + c$ where $m$ is the slope or the gradient and $c$ is the $y$-intercept.
Now, we will rewrite the given equation of a line into slope intercept form by using slope intercept form.
$y = - x + 3$

Thus, the slope of the line is $m = - 1$ and the $y$-intercept of the line is $c = 3$.
Therefore, the slope intercept form of $y + x = 3$ is $y = - x + 3$.

Note:
We know that the equation of the line is of the form slope-intercept form, intercept form and normal form. We will use the slope-intercept form to find the slope, $x$- intercept and $y$- intercept. The equation of line is always a linear equation. A linear equation is an equation with the highest degree as 1 and has only one solution. We know the intercepts are defined as a graph which crosses either the $x$ axis or the $y$ axis. Also, all the graphs of a function will have intercepts, but the graph of the linear function will have both the intercepts. A point crossing the $x$-axis, it is called $x$-intercept and a point crossing the $y$-axis is called the $y$-intercept.