## Intermediate Algebra (6th Edition)

We are given that $2-x=3$. First, we must solve for x to get this line into the form $x=b$. Subtract 2 from both sides. $-x=1$ Divide both sides by -1. $x=-1$ To find the slope of a line, we can take two points on the line and calculate the slope using the slope formula. $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ We know that two points on this line will be (-1,3) and (-1,4), since all points on this line will have an x-coordinate of -1, no matter the value of y. $m=\frac{4-3}{-1-(-1)}=\frac{1}{-1+1}=\frac{1}{0}$ So the slope of this line is undefined. Also, the y-intercept of a line occurs where x=0. On this line, x always equals -1, so this line has no y-intercept.