Question

Need this in 10 minsWrite the standard form of the equation of

each line given the slope and y-intercept
1) Slope=-3/5, intercepts
2) Slope =-2/3, 4 intercept = -4

Answer 1

Note:

Your first question is missing the y-intercept, so I am solving the 2nd question, but the procedure to solve each of the questions is the same.

Answer:

The equation in the standard form is:

`(2)/(3)x\:+\:y\:=-4`

Explanation:

Given

Slope m = -2/3

y-intercept = -4

We know that the slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

now substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

`y = mx+b`

`y\:=\:-(2)/(3)x\:\:+\:\left(-4\right)`

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

We know that the equation in the standard form is

`Ax + By = C`

where x and y are variables and A, B and C are constants

so writing the equation in the standard form

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

`(2)/(3)x\:+\:y\:=-4`

Therefore, the equation in the standard form is:

`(2)/(3)x\:+\:y\:=-4`