SOLUTION: 6. Tayler claims that when a linear equation is written in general form, Ax + By + C = 0, the intercept of the corresponding graph is always . /1 a. Show that Tayler�s claim

Question 1018655: 6. Tayler claims that when a linear equation is written in general form, Ax + By + C = 0, the intercept of the corresponding graph is always .
/1 a. Show that Tayler�s claim is true for the equation 3x + 5y + 45 = 0.
Answer:
/1 b. Explain why represents the x-intercept. (Hint: What y-value can be substituted into
Ax + By + C = 0 to determine the x-intercept?)
Answer:
/1 c. Tayler�s claim is not true for horizontal lines. Explain why.
Answer:
/1 d. Suggest a similar rule for the y-intercept. Check the rule using 3x + 5y + 45 = 0.
Answer:
/1 e. Will the rule always work?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
...always what?

Try taking the most generalized form you have, and find the x and y intercepts.

let y=0

let x=0

The x intercept will be
and
the y intercept will be .

Watch the signs carefully when you apply this.

What if Horizontal Line?
Slope is 0.

(Do not confuse the differently cased variables)
but the slope being 0 requires that A=0, and finding y-intercept would give - BUT DIVISION BY ZERO IS IMPOSSIBLE, so this method of finding the x-intercept will not give any result; in any case, as long as the horizontal line is any value other than 0, non-intersecting the x-axis is already known.
RELATED QUESTIONS
PLEASE NEED ANSWERS ASAP NOW, SHOW ALL WORK SORRY IF ITS ALOT BUT IM HAVING TROUBLE RIGHT (answered by stanbon)

The equation of the line that goes through the points (-7, -2) and (5, 3) can be written... (answered by Alan3354)

What is y=-3/4x +6 written in the form Ax+By+C=0 (answered by josgarithmetic)

When the equation of a line is written in general form, Describe the Slope of the line... (answered by Fombitz)

In the problem, find the general linear equation (Ax+By+C=0 ) of the straight line that... (answered by stanbon)

Rewrite the equation below in slope intercept form y = mx + b. Use fractions for the... (answered by checkley75)

Rewrite the following linear equation in general form (Ax + By + C =0) y + 6 = -5/2 (x (answered by MathLover1)

The equation, in general form, of the line that passes through the point (3,5) and is... (answered by josgarithmetic,anand429)

Write the linear equation satisfying each of the following conditions: parallel to the... (answered by palanisamy)