Answer:
Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]
Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]
Looking at slope-intercept form of both equations, we have slope m = -2
Both have same slopes so, the lines are parallel.
Step-by-step explanation:
We need to write equations in slope-intercept form.
The general formula of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
The first equation is:
[tex]2x+y=5[/tex]
Slope-intercept form:
[tex]y=-2x+5[/tex]
The second equation is: [tex]3y=9-6x[/tex]
Rearranging: [tex]3y=-6x+9[/tex]
Slope-intercept form:
[tex]y=\frac{-6}{3} x +\frac{9}{3}\\y=-2x+3[/tex]
Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]
Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]
Looking at slope-intercept form of both equations, we have slope m = -2
Both have same slopes so, the lines are parallel.
They have different y-intercepts.
