Question

1. convert the slope - intercept form $y = - 3x + 7$ to standard form.

a. $- 3x + y = 7$
b. $3x + y = 7$
c. $3x - y = - 7$
d. $- 3x + y = - 7$

Explanation:

Step1: Recall standard form

The standard form of a linear equation is \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non - negative. The slope - intercept form is \(y=mx + b\). We start with \(y=-3x + 7\).

Step2: Rearrange the equation

To convert \(y=-3x + 7\) to standard form, we add \(3x\) to both sides of the equation.
\(y+3x=-3x + 7+3x\)
Simplifying the right - hand side, we get \(3x + y=7\).

Answer:

b. \(3x + y = 7\)