SOLUTION: I need help on the following questions:I am having a hard time with finding slopes and writing the following equations. I would really appreciate your help,thank you in advance. 1

Question 113203: I need help on the following questions:I am having a hard time with finding slopes and writing the following equations. I would really appreciate your help,thank you in advance.
1.Find the slope of the line passing through the points (-3,1) and (-6,10)
2. Write the equation of the line with slope -5 and y intercept (0,5)
3. Write the equation of the line with x-intercept (-1,0) and undefined slope
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
To find the slope of a line given two points, the first thing to decide is which will be Point 1 and which Point 2. It doesn't matter which you pick, as long as you keep it consistent as you solve the problem.

Let's say that your point (-3, 1) is and (-6, 10) is

The coordinates of are and , and

The coordinates of are and

Now we can use the formula for the slope to compute it.

===============================

The slope-intercept form of a straight line is where m is the slope and b is the y-coordinate of the y-intercept. The y-intercept is the point where the line intersects the y-axis, in other words, the value of y when x = 0.

Given that the slope of the line is -5 and the y-intercept is (0, 5), we can write the equation directly by substitution in the slope-intercept form.

Can you see that if you put 0 in for x in this equation that y = 5?

=================================

A line with an undefined slope is a line where all of the x-coordinate points are equal. That means that if you tried to compute the slope, the slope formula, would have a zero denominator. Such a line must be a vertical line for all of the x-coordinates to be equal.

Since all of the x-coordinates are equal, we know what that value is from the x-coordinate of the x-intercept, (-1, 0). Since x = -1 for all values of y, the equation fully describes the line and is therefore the sought after equation.

Hope this helps,
John
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