Question

Help with two problems please!

Write an equation in standard form for a line with an x intercept of 2 and a y intercept of 5.


Write the standard form of the equation of the line parallel to the graph of 2y-6 = 0 and passing through B (4, -1).

Can someone help me solve these please? :)

Answer 1

Use the symmetric form when both intercepts are given:
\(\dfrac{x}{A}+\dfrac{y}{B}=1\)
where A and B are the x and y intercepts respectively.

Example:
Line with x-intercept of 4 and y-intercept of 5:
\(\dfrac{x}{4}+\dfrac{y}{5}=1\)
Multiply by 20 on both sides:
5x+4y=20, or in standard form:
5x+4y-20=0

Answer 2

this is for the question im assuming, right?

Answer 3

i got 5x + 2y - 10 = 0...does that sound ok?

Answer 4

for the first question i meant! haha

Answer 5

@mathmate

Answer 6

yes, 5x + 2y - 10 = 0 looks good for the first one.

Answer 7

thanks so much! :) @mathmate

Answer 8

You're welcome!

Answer 9

Do you need help with the second one?