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Math

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Write the slope-intercept form of the equation of the line that passes through the point (-5,4) and has a slope of -1.

y = mx+b
4 = -1(-5)+b
4 = 5+b
9 = b

y = 5x+9

I don't see what I missed. Do I subtract 5 on both sides? that would be y = 5x-1

  • Math -

    y = mx+b
    4 = -1(-5)+b
    4 = 5+b

    OK to here

    9 = b No

    y = 5x+9 No

    I don't see what I missed. Do I subtract 5 on both sides? Yes

    that would be y = 5x-1

    No, the gradient is -1.

    So go back to the original
    y=mx+b

    m=-1 and b=-1 and substitute

    y=-1x-1

    Check by substituting the values if x=-5

    y=-1(-5)-1 = 4

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