Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)

Answer 1

We are using the formula y = m*x + b, where m is the slope, and b is the y offset

(the value of y when x = 0)

To be parallel, the slope of the new line will be the same as the line given: m = -2/3

So, we have y = -2/3 * x + b

To find b, we can substitute the values for the given point (x = 4, y = -5):

-5 = -2/3 * 4 + b

Rearrange and simplify:

b = -5 + 2/3 * 4

b = -5 + 8/3

b = -7/3

So: y = -2/3 * x - 7/3

CHECK by plotting on graph paper

Answer 2

Since parallel lines have the same slope, the slope of the line that passes through (4,-5) is -2/3.

We can solve for b by plugging this information and the coordinates of the point into y = mx +b

m = -2/3

x = 4

y = -5

-5 = -2/3(4) + b

-5 = -8/3 + b

Add 8/3 to both sides of the equation

-5 + 8/3 = b

(-15 + 8)/3 = b

-7/3 = b

Give it a try.

I hope you find this information useful and send me a message if you have any questions.

Answer 3

-2/3 = (y+5)/(x-4)

-2x+8 = 3y + 15

3y= - 2x - 7

There is one more step to get the correct answer!