What is 5x+6y=7 in point slope form

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