Question

How do you write \[y + x = 3\] into slope intercept form?

Answer 1

Hint: 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.