Math

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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

  • Math -

    What is the y-intercept 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.

  • Math -

    It's
    y = two-thirds x + 2

  • Math -

    its -2

  • Math -

    Y = (2/3)x + 2

    x = 0 at the point where the graph crosses the y-axis. 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).

  • Math -

    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 = (3-2)/(2-1) = 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 = (y-3)/(x-2) = -2.
    Cross multiply:
    y-3 = -2(x-2).

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