Question

3. The x-intercept of a line is –5 and the y-intercept of the line is –2. What is the equation of the line? (1 point)
y = –x – 5
y = x + 2
y = x – 2
y = –x – 2

4. What is the slope-intercept form of the equation y – 7 = –(x + 4)? (1 point)
y – 2 = –(x + 2)
y + 7 = –x +
y = –+ 2
y = –x – 3
Please help i dont understand it

Answer 1

basically most of these equations are in the form y=mx+b

Answer 2

so the m is the slope and the b is the y-intercept

Answer 3

for 3. you are given b=-2
so the equation must be one of these:
y = x – 2
y = –x – 2

Answer 4

The slope is negative:
\[\frac{(0- -2)}{-5 - 0} = -\frac{2}{5}\]
For your second equation, slope-intercept form looks like this:
\[y = mx + b\]
So the last option is the only possibility:
\[y = -x + 3\]

Answer 5

now you can plugin the value (-5, 0) because its an xintercept but it can be any other value
then calculate the slope by using (y1-y2)/(x1-x2)

Answer 6

sorry you dont need calculate the slope that way
its better to do it like y=mx+b
so y=mx-2
now (-5, 0)
0=m(-5)-2
2=-5m
m=2/-5

Answer 7

i dont know why i didnt get any of the options but the equation i got is:
y=2/-5 x -2

Answer 8

sorry @burn23 i cant help you much
but i know that this is the way i do it
try doing the second one