Question

Write the standard form of the equation of

cach une given the slope and y-intercept
1) Slope=-315, y intercept=s
2) Slope =-2/3, y intercept = -4

Answer 1

`5y +3x= 25`

`3y -2x= - 12`

Explanation:

An equation in standard form is:

`Ax + By = c\\`

Solving (a):

Given

`m = -(3)/(5)` --- slope

`b = 5` --- y intercept

Required: Determine the equation

An equation has the form:

`y = mx + b`

Substitute values for m and b

`y = -(3)/(5)x + 5`

Multiply through by 5

`5y = -3x + 25`

Add 3x to both sides

`5y +3x= 3x-3x + 25`

`5y +3x= 25`

Solving (b):

Given

`m = (2)/(3)` --- slope

`b = -4` --- y intercept

Required: Determine the equation

An equation has the form:

`y = mx + b`

Substitute values for m and b

`y = (2)/(3)x -4`

Multiply through by 3

`3 * y = ((2)/(3)x -4) * 3`

`3y = 2x - 12`

Subtract 2x from both sides

`3y -2x= -2x+2x - 12`

`3y -2x= - 12`