Answer:
Step-by-step explanation:Find Any Equation Parallel to the Line 5x+6y=7
5x+6y=75x+6y=7
The slope-intercept form is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.
y=mx+by=mx+b
Subtract 5x5x from both sides of the equation.
6y=7−5x6y=7-5x
Divide each term by 66 and simplify
y=76−5x6y=76-5x6
Reorder 7676 and −5x6-5x6.
y=−5x6+76y=-5x6+76
Rewrite in slope-intercept form.
y=−56x+76y=-56x+76
Using the slope-intercept form, the slope is −56-56.
m=−56m=-56
To find an equation that is parallel to
5x+6y=75x+6y=7, the slopes must be equal. Using the slope of the equation, find the
parallel line using the point-slope formula.
(0,0)(0,0)
m=−56m=-56
Using the point-slope form y−y1=m(x−x1)y-y1=m(x-x1), plug in m=−56m=-56, x1=0x1=0, and y1=0y1=0.
y−(0)=(−56)(x−(0))
y=−5x6y=-5x6
Reorder terms.
y=−(56x)y=-(56x)
Remove parentheses.
y=−56x
