We know that
• The slope is 3.
,
• The y-intercept is -2.
We use the slope-intercept form to find an equation.
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where m is the slope, and b is the y-intercept.
Replacing the given information, we have
![y=3x-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/cs951ld0m5fyz30f6jmmjk2jhieli70v8l.png)
Now, we move all terms to the left side to express the linear equation in standard form.
Therefore, the standard form is
![-3x+y=-2](https://img.qammunity.org/2023/formulas/mathematics/college/ol8ydw9g3m1gfham06gu7f2c4od0am2niu.png)