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Write an equation of a line that is parallel to the line 3y=-x+6 and passes through the point (6,2).

1 Answer

6 votes

Answer:

y = x+2

y =-x+2 shows 0

We want to show 1 both sides

2y = x+2 shows 2

y = x+2 shows 0 as explained below.

Explanation:

3y−x=6

Solve for y.

y=2+x3

Rewrite in slope-intercept form.

y=13x+2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: 13 y-intercept: 2

Any line can be graphed using two points. Select two

x values, and plug them into the equation to find the corresponding y values.

xy 02, 33

Graph the line using the slope and the y-intercept, or the points.

Slope:

13y-intercept: 2x y (0,2) (3,3)

User Feganmeister
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