What is the y-intercept of y =

2/3x + 2?

I have to write it out but how?

A line has a slope of
1/2 and passes through the point (0,5). What is the equation of the line?

A)y = 1/2x + 5

B)y = 1/2x - 5<---

C)y = 5x + 1/2

D)y = -5x + 1/2

Find an equation of the line that passes through the points (1,2) and (2,3).

A) y = x - 1
B) y = x + 1
C) y = x - 2 <--
D) y = 2x - 1

8)Find an equation of the line that has intercepts (1,0) and (0,4).
A) y = 4x - 1 <--
B) y = -4x + 4
C) y = -4x + 1
D) y = -4x - 4

9)A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?

A) 2x + y = 7
B) y = -2x + 7
C) y - 3 = -2(x - 2)<---
D) y = -1/2x + 5

3 answers

1. is -2?
The probability of guessing them all wrong would be (3/4)^5 = .24
You managed to get the all wrong

1. In the form y = mx + b
the y-intercept is b
in the equation y = (2/3)x + 2, what do you see in place of the b ?

2. isn't (0,5) the y-intercept ?
so b = 5
which equation has 1/2 in front of the x and a 5 instead of the b ?

3. I subbed (1,2) into your choice and it did not work, no point trying the 2nd point.
Look at the points, in each case the y is 1 more than the x
Look at y = x+1
To me that says, the y is 1 more than the x

4.
Again isn't (0,4) the y-intercept?
So which equation has +4 at the end ?

5.
Only B and D are in slope - yintercept form, ruling out A and C
Which of B and D has a slope of -2 ?
Sub in (2,3) in your choice to make sure
1. +2
2. y = 1/2x + 5 .. I had -5
3. y = x + 1
4. y = -4x + 4.
5. y = -2x + 7

thanks !