Question

1. what is standard form?

given the following information, write the linear equation in slope - intercept form.

1. slope = \\(\frac{1}{3}\\); y - intercept = -1 4. slope = -\\(\frac{2}{5}\\); y - intercept = 0 5. slope = -1; y - intercept = 4

convert the following from standard form to slope - intercept form.

1. 6x + 3y = 6 7. x + 2y = 4
2. x + y = -3 9. -2x + 3y = -6
3. 2x + y = -1 11. 5x - 2y = 14
4. 5x - y = -5 13. 4x + 3y = 12
5. 2x - 4y = 8 15. x + 3y = -3

Explanation:

Problem 3:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute values

Given that the slope $m=\frac{1}{3}$ and the y - intercept $b = - 1$. Substitute these values into the slope - intercept form.
We get $y=\frac{1}{3}x-1$.

Problem 4:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute values

Given that the slope $m=-\frac{2}{5}$ and the y - intercept $b = 0$. Substitute these values into the slope - intercept form.
We get $y=-\frac{2}{5}x+0$, which simplifies to $y =-\frac{2}{5}x$.

Problem 5:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute values

Given that the slope $m=-1$ and the y - intercept $b = 4$. Substitute these values into the slope - intercept form.
We get $y=-x + 4$.

Problem 6:

Answer:

s:

1. $y=\frac{1}{3}x - 1$
2. $y=-\frac{2}{5}x$
3. $y=-x + 4$
4. $y=-2x + 2$
5. $y=-\frac{1}{2}x+2$
6. $y=-x - 3$
7. $y=\frac{2}{3}x-2$
8. $y=-2x-1$
9. $y=\frac{5}{2}x-7$
10. $y = 5x+5$
11. $y=-\frac{4}{3}x + 4$
12. $y=\frac{1}{2}x-2$
13. $y=-\frac{1}{3}x-1$