Math worksheet for practicing graphing linear equations and writing equations from given points and slopes.

To find the equation for each line, we use the slope-intercept form:
$$y = mx + b$$
where:
* $m$ is the slope.
* $b$ is the y-intercept (the point where the line crosses the vertical y-axis).

The worksheet already provides the slope ($m$) and the y-intercept ($b$) for each problem. We just need to plug those numbers into the formula.

Here is the step-by-step solution for each number:

1)
* Slope ($m$) = $-3$
* y-intercept ($b$) = $-3$
* Equation: $y = -3x - 3$

2)
* Slope ($m$) = $-2$
* y-intercept ($b$) = $-2$
* Equation: $y = -2x - 2$

3)
* Slope ($m$) = $3$
* y-intercept ($b$) = $3$
* Equation: $y = 3x + 3$

4)
* Slope ($m$) = $3$
* y-intercept ($b$) = $3$
* Equation: $y = 3x + 3$

5)
* Slope ($m$) = $3$
* y-intercept ($b$) = $3$
* Equation: $y = 3x + 3$

6)
* Slope ($m$) = $-4$
* y-intercept ($b$) = $-4$
* Equation: $y = -4x - 4$

7)
* Slope ($m$) = $4$
* y-intercept ($b$) = $4$
* Equation: $y = 4x + 4$

8)
* Slope ($m$) = $1$ (When the slope is 1, we usually just write $x$)
* y-intercept ($b$) = $1$
* Equation: $y = 1x + 1$ or $y = x + 1$

Final Answer:
1) $y = -3x - 3$
2) $y = -2x - 2$
3) $y = 3x + 3$
4) $y = 3x + 3$
5) $y = 3x + 3$
6) $y = -4x - 4$
7) $y = 4x + 4$
8) $y = x + 1$