Rewrite 2x-3y=7 in slope-intercept is y=2/3x-7/3, and y=mx+b and m is the slope so m=2/3.
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x - 3y = 7 into this form by subtracting 2x from both sides
- 3y = - 2x + 7 ( divide terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - [tex]\frac{7}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Thus the slope of any parallel line is m = [tex]\frac{2}{3}[/tex]
