What is the equation of a line passing through (-3, 7) and having a slope of ?

What is the equation of a line passing through (-3, 7) and having a slope of ?

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  1. This doesnt exactly answer, but if you go to the website "math  papa" itll help you a lot with math. it tells you the answers. and takes you step by step if you really need it. but it gives you the answers for math.

  2. Using the information given, we can use the point-slope form:

    y - y1 = m(x - x1)

    y - 7 = -1(x + 3)

    y - 7 = -x - 3

      +7        +7

    y = -x + 4, this is slope-intercept form

    x + y = 4, this is standard form

  3. Thank you for coming to with your questions!

    I believe the answer is:

    [tex]y = - \frac{1}{5} x + 6 \frac{1}{5}[/tex]. The equation to find this is:
    y - y1 = m(x - x1). So you plug in the slope for "m", the x coordinate for "x1" and the y coordinate for "y1". After you do that, it should look like this:

    [tex]y - 7 = - \frac{1}{5} - 1 \frac{1}{5}[/tex]. 

    Then you just add 7 to both sides to get y by itself, so that is how I got the answer.

    I hope this helps you! Please mark Brainliest! Lemme know if I can help you with any further questions!

    -Belle

  4. We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

    We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

    To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

    7 = (-1/5)(-3) + b
    7 = 0.6 + b
    6.4 = b
    b = 6 2/5

    So, the y-intercept will be at 6 2/5.

  5.   D.  y = -1/5x +32/5

    Step-by-step explanation:

    The equation of the line passing through point (h, k) with slope m can be written ...

      y = m(x -h) +k

    Filling in your given values, the equation is ...

      y = -1/5(x -(-3)) +7

      y = -1/5x -3/5 +7 . . . . eliminate parentheses

      y = -1/5x +32/5 . . . . . combine constants

  6. y = -1/5x +32/5

    Step-by-step explanation:

    The slope intercept form of the equation of a line is

    y = mx+b

    we know m = -1/5

    y = -1/5x+b

    We know a x and y on the line

    7 = -1/5(-3) +b

    7 = 3/5 +b

    Subtract 3/5 from each side

    35/5 -3/5 = b

    32/5 =b

    So the equation is

    y = -1/5x +32/5

  7. M = - 1/5
    y = m x + b
    7 = - 1/5 · ( - 3 ) + b
    7 = 3/5 + b
    b = 7 - 3/5
    b = 35/5 - 3/5
    b = 32/5
    The equation is:
    y = - 1/5 x + 32/5   or : y = - 0.2x + 6.4

  8. The slope cannot be found when only one co-ordinate is given.

    One may assume the line is vertical or horizontal 

    This answer is ambiguous

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