Question

Write the equation that is parallel to y = - 3 x + 7 and passes through the point (2, -1). Write your answer in slope intercept form. The y= is already typed for you, so just enter the remainder of your equation (no spaces).

y =

Answer 1

Answer: y= 3x-7

Explanation:

y=mx+b

Where m is the slope and b is the y intercept

The slope of the given equation, y=3x+7 is 3

So, to write an equation parallel to the given equation and set of points, use point slope form and the slope of 3:

y−y1=m(x−x1)

Where (2,-1)⇒(x1,y1) and m=3

y−(-1)=3(x−2)

Distribute the 3 throughout the set of parenthesis

y+1=3x−6

Perform the opposite operation to isolate y by subtracting 1 on both sides of the equation

y=3x-7

Answer 2

y=-3x-7

Explanation:

To find an equation that is parallel to y = -3x + 7 and passes through the point (2, -1), we know that parallel lines have the same slope. Therefore, the slope of our new equation should also be -3. We can then use the point-slope form of a line and plug in the given point and slope to get y - (-1) = -3(x - 2). Simplifying this equation, we get y = -3x + 5. Therefore, the equation that is parallel to y = -3x + 7 and passes through the point (2, -1) is y = -3x + 5, which is in slope-intercept form.