Question

15. Write the slope-intercept form of the line described in the following:

Parallel to 3x + y=5
and passing through (2, 3)

Answer 1

Explanation:

We know that parallel line must have the same slope

First we change the given equation to slope intercept form y =mx +b

From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)

find for y by subtracting 3x from both sides of the equation

3x +y = 5 -3x

-3x

we get : y = -3x +5

Use the x and y values given (2,3) and substitute in the equation above

to find find for b (remember we need a new

y intercept..b)

y = -3x + b

3 = -3(2) + b

3 = -6 + b

b = 6 = 3

b = 9

The new equation that's parallel to the given equation would be

y = -3x + 9