Mathematics

Question

which equation is the slope intercept form of this equation?
y-4=-2(x-5)

A) y=-2x+14
B)2x+y=6
C)y-4=-2x+10
D)x=-1/2y+3



Please help me!!!!!!!!!!! ☆I will give brainliest if right☆

1 Answer

  • Answer:

    A) y = -2x + 14

    Step-by-step explanation:

    The slope-intercept form of an equation of a line:

    [tex]y=mx+b[/tex]

    m - slope

    b - y-intercept

    We have the equation i point-slope form.

    Convert to the slope-intercept form:

    [tex]y-4=-2(x-5)[/tex]    use the distributive property

    [tex]y-4=-2x+(-2)(-5)[/tex]

    [tex]y-4=-2x+10[/tex]             add 4 t oboth sides

    [tex]y-4+4=-2x+10+4\\\\y=-2x+14[/tex]

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