Question

graphing linear inequality systems
aurora sarabia
graphing liinear inequality systems (a.rei.12)
multiple-choice question
both of these equations are in the form called...
standard form
slope-intercept form
point slope form

Explanation:

The equations \( y = -3x + 6 \) and \( y = x + 2 \) are in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. This is the definition of the slope - intercept form of a linear equation. The standard form is \( Ax + By = C \) (where \( A\), \( B\), and \( C\) are integers and \( A\geq0\)) and the point - slope form is \( y - y_1=m(x - x_1)\) (where \( (x_1,y_1)\) is a point on the line and \( m\) is the slope), so these equations do not match the other two forms.

Answer:

B. slope - intercept form (assuming the options are labeled as A. standard form, B. slope - intercept form, C. point slope form)