Math
posted by Walt .
What is the yintercept 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 pointslope form?
A) 2x + y = 7
B) y = 2x + 7
C) y  3 = 2(x  2)<
D) y = 1/2x + 5

What is the yintercept of y =
2/3x + 2?
I have to write it out but how?

The y axis intercept is where x = 0
which in this case is 2
and I think you meant to type
y = (2/3) x + 2
because what you typed was
y = 2/(3x) + 2
think parentheses when you try to express equations with a keyboard. 
It's
y = twothirds x + 2 
its 2

Y = (2/3)x + 2
x = 0 at the point where the graph crosses the yaxis. So in the Eq above, replace x with 0 and solve for y:
Y = (2/3)*0 * 2 = 0 + 2 = 2.
(x,y) = (0,2). 
2. Given: P(0,5), m = 1/2.
Y = mx + b = 5.
(1/2)*0 + b = 5, b = 5.
Eq: Y = (1/2)x + 5.
3. Given: (1,2), (2,3).
m = (32)/(21) = 1/1 = 1.
Y = mx + b = 2.
1*1 + b = 2, b = 1.
Eq: Y = x + 1.
8. Same procedure as #3.
9. Given: (2,3), (x,y), m = 2.
m = (y3)/(x2) = 2.
Cross multiply:
y3 = 2(x2).
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