Subject

2) Write the Standard Form of the Equation of Each Line Given the Slope and Y- Intercept A) Slope=-3,y-intercept=-3 B)

Question

2) Write the standard form of the equation of each line given the slope and y- intercept a) Slope=-3,y-intercept=-3 b) Slope=(3)/(2),y-intercept=4 c) Slope=-(1)/(5),y-intercept=4

Solution

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Answer

### a)

### b)

### c)

Explanation

## Step 1: Using the Slope-Intercept Form### The slope-intercept form of a linear equation is

, where

is the slope and

is the y-intercept.## Step 2: Solving for (a)### Substitute

and

into

:

. Add

to both sides to get

.## Step 3: Solving for (b)### Substitute

and

into

:

. Subtract

from both sides:

. Multiply both sides by -2 to eliminate the fraction and make the coefficient of x positive:

.## Step 4: Solving for (c)### Substitute

and

into

:

. Add

to both sides:

. Multiply both sides by 5 to eliminate the fraction:

.