The x intercept of a line is -5 and the y intercept of the line is -2. Whats the equation of this line?

Question

The x intercept of a line is -5 and the y intercept of the line is -2.  Whats the equation of this line?

phoenixfire · Answer

You have two points:(-5, 0) <- x intercept and (0, -2) <- y intercept

phoenixfire · Answer

Do you know how to find the slope of a line from two points?

anonymous · Answer

y = -5/2x-5 
y=2/5x+2
y=5/2x-2
y=-2/5x-2

anonymous · Answer

im pretty sure its the third one because ive narrowed it down to those choices 
is c correct?

anonymous · Answer

It wouldn't be the third one because the slope has to be negative.

anonymous · Answer

ohh dang it! okay yes your right then its A right?

anonymous · Answer

It would be the last one. The slope is correct and the y intercept is correct.

anonymous · Answer

oh really? i thought for sure it was A could you explain it?

phoenixfire · Answer

Slope:$$m={{y_1-y_0} \over {x_1-x_0}}={{0-(-2)} \over {-5-0}}={2 \over -5}=-{2 \over 5}$$
y-intercept is -2. so y=mx+c becomes:
$$y=-{2 \over 5}x-2$$

anonymous · Answer

oh i feel dumb! I get it haha

anonymous · Answer

could you guys help me with one more question?

anonymous · Answer

What is the slope-intercept form of the equation y – 7 = –5/2 (x + 4)?

anonymous · Answer

Rearrange it for y, the slope would be -5/2

anonymous · Answer

ok so would it be y – 2 = –5/2(x + 2) 

or 
y = –5/2x – 3

anonymous · Answer

the second one.

anonymous · Answer

okay cool thanks!

anonymous · Answer

yep

anonymous · Answer

what about this question 

What is the slope of the line passing through the points (2, 7) and (–1, 3)?

anonymous · Answer

4/3

anonymous · Answer

are you sure it isnt 3/4 tho?

anonymous · Answer

yep, its 4/3

anonymous · Answer

okay cool thanks alot you are a big help!

anonymous · Answer

sure

anonymous · Answer

best response?