**MTH
030 -- Elementary Algebra -- Exercise Solutions
Section:**

**17.
Write the equation of the line that passes through the point (2,
1) with slope 3 .
Solution: **The point slope form of the equation of a line is

In this problem we have y - 1 = 3(x - 2) = 3x - 6.

Add 1 to both sides of the equation to obtain the more desirable slope intercept form of the equation of this line

**18.
Write the equation of the line that passes through the point (4,
3) with slope 2 .
Solution: **The point slope form of the equation of a line is

In this problem we have y - 3 = 2(x - 4) = 2x - 8.

Add 3 to both sides of the equation to obtain the more desirable slope intercept form of the equation of this line

**19.
Write the equation of the line that passes through the point (-5,
-1) with slope -(4/5).
Solution: **The point slope form of the equation of a line is

In this problem we have y - (-1) = -(4/5)[x - (-5)].

Performing the indicated operations yields y + 1 =

Add -1 to both sides of the equation to obtain the more desirable slope intercept form of the equation of this line

**20.
Write the equation of the line that passes through the point (-2,
-9) with slope -(7/8).
Solution: **The point slope form of the equation of a line is

In this problem we have y - (-9) = -(7/8)[x - (-2)].

Performing the indicated operations yields y + 9 =

Add -9 to both sides of the equation to obtain the more desirable slope intercept form of the equation of this line