Find the slope of a line parallel to each given line. 17. 7x-2y=4 18.) x=-1 19. 3x-2y=-2 201 x+2y=2 21 x-y=-2 x+y=-2

17. To find the slope of a line parallel to the given line $7x-2y=4$, we first need to find the slope of the given line. We can rewrite the equation in slope-intercept form $y=mx+b$, where $m$ is the slope.<br /><br />$7x-2y=4$<br />$-2y=-7x+4$<br />$y=\frac{7}{2}x-2$<br /><br />The slope of the given line is $\frac{7}{2}$. Therefore, the slope of a line parallel to this line is also $\frac{7}{2}$.<br /><br />18. The equation $x=-1$ represents a vertical line. The slope of a vertical line is undefined. Therefore, the slope of a line parallel to this line is also undefined.<br /><br />19. To find the slope of a line parallel to the given line $3x-2y=-2$, we first need to find the slope of the given line. We can rewrite the equation in slope-intercept form $y=mx+b$, where $m$ is the slope.<br /><br />$3x-2y=-2$<br />$-2y=-3x-2$<br />$y=\frac{3}{2}x+1$<br /><br />The slope of the given line is $\frac{3}{2}$. Therefore, the slope of a line parallel to this line is also $\frac{3}{2}$.<br /><br />20. To find the slope of a line parallel to the given line $x+2y=2$, we first need to find the slope of the given line. We can rewrite the equation in slope-intercept form $y=mx+b$, where $m$ is the slope.<br /><br />$x+2y=2$<br />$2y=-x+2$<br />$y=-\frac{1}{2}x+1$<br /><br />The slope of the given line is $-\frac{1}{2}$. Therefore, the slope of a line parallel to this line is also $-\frac{1}{2}$.<br /><br />21. To find the slope of a line parallel to the given line $x-y=-2$, we first need to find the slope of the given line. We can rewrite the equation in slope-intercept form $y=mx+b$, where $m$ is the slope.<br /><br />$x-y=-2$<br />$-y=-x-2$<br />$y=x+2$<br /><br />The slope of the given line is $1$. Therefore, the slope of a line parallel to this line is also $1$.<br /><br />22. To find the slope of a line parallel to the given line $x+y=-2$, we first need to find the slope of the given line. We can rewrite the equation in slope-intercept form $y=mx+b$, where $m$ is the slope.<br /><br />$x+y=-2$<br />$y=-x-2$<br /><br />The slope of the given line is $-1$. Therefore, the slope of a line parallel to this line is also $-1$.