Question

NEED THIS ASAPWrite the standard form of the equation of each line given the slope and y-intercept
1) Slope = -3/5, y intercept
2) Slope =-2/3, y intercept = -4

Answer 1

Note:

Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.

                                            Question 2

Answer:

The equation in the standard form is:

• 2/3x + y = -4

Please also check the attached graph.

Step-by-step explanation:

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

Given

• Slope m = -2/3

• y-intercept = -4

To determine

• Write the equation in the standard form

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

$y = mx+b$

where

• m is the slope

• b is the y-intercept

In our case:

• Slope m = -2/3

• y-intercept = -4

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

y = mx+b

y = -2/3x  + (-4)

y = -2/3x - 4

Writing the equation in the standard form

2/3x + y = -4

Therefore, the equation in the standard form is:

• 2/3x + y = -4

Please also check the attached graph.