Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

What is the slope m and y-intercept point of the line 2x – y = –10?

What is the slope m and y-intercept point of the line 2x – y = –10?

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  • 1 decade ago
    Favorite Answer

    Easiest way to answer this is to solve for y and get it in slope intercept form. that is, get it to look like y = mx + b

    Start with 2x - y = -10, and add y and 10 to each side....

    2x + 10 = y

    So the slope is 2 and the y intercept is (0, 10)

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  • owings
    Lv 4
    3 years ago

    Slope is calculated as (y2-y1)(x2-x1). to locate the slope of any of those, you will ought to locate 2 factors on the line. the least complicated thank you to do this is in simple terms %. 2 values for x. as an occasion, on the 1st one in each and every of y = 2x-a million %. x = 0 ==> y = 2*0 - a million = -a million %. x = a million ==> y = 2*a million - a million = a million So your 2 factors are (x1,y1) = (0,-a million) and (x2,y2) = (a million,a million) (y2-y1)/(x2-x1) = (a million-(-a million))/(a million-0) = 2/a million = 2 The y intercept is the place the line intersects the y axis. this is an analogous with the aid of fact the fee of the equation whilst X = 0 with the aid of fact the Y axis is a vertical line via X = 0. For the 1st equation, y = 2x - a million If X = 0, y = 2*0 - a million = -a million So the y-intercept is -a million. a lots greater handy way is to look in any respect the equations as y = mx + b the place m is the slope and b is the y-intercept

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  • 1 decade ago

    First: solve for "y" > subtract 2x from both sides:

    2x - 2x - y = - 2x - 10

    - y = -2x - 10

    Second: "y" can never be negative > change all signs:

    y = 2x + 10

    Third: the slope is the number/fraction in front of the "x" which is (2). The y-intercept is the number/fraction after the "x" variable which is (10).

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  • Anonymous
    1 decade ago

    y-intercept occurs when x = 0 and so it is found as follows.

    2x - y = -10

    2x + 10 = y

    2(0) + 10 = y

    10 = y

    y-intercept is at point (0,10)

    slope is the chage in y divided by the change in x and so the slope is as follows.

    dy/dx = m

    ((2(0) + 10) - (2(1) + 10)) / (0 - 1) = m

    ((0 +10) - (2 + 10) ) / (-1) = m

    (10 - 12) /(-1) = m

    -2 / -1 = m

    2 = m

    and so the slope is 2.

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  • Anonymous
    1 decade ago

    You first want to change the equation into the slope-intercept form:

    y=mx+b

    m=slope

    b=y-intercept

    Subtract 2x from both sides:

    -y=-2x-10

    Divide -1 from both sides:

    y=2x+10

    Slope=2

    y-intercept=10

    I hope that helped!

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  • Anonymous
    1 decade ago

    member always change it back to y=mx+c (where m= gradient and c= y-intercept)

    swap the 10 and y around and get....

    y=2x+10

    so..... 10 = y-inetcept and m= 2

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