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Write an equation in point slopeople form that passes through the point (1,8) & slope of -3 show all work now write the equation in slope intercept form

Respuesta :

midknight9

So we know that point-slope form is as follows:


[tex] y-y_{1}=m(x-x_{1}) [/tex]


The points ([tex] x_{1} [/tex] and [tex] y_{1} [/tex] correspond to the point given and m is representing the slope. So we plug in what the question gives us:


[tex] y-(8)=-3(x-1) [/tex] <------ Point-slope form


Now we can take this form and simplify to give us the slop-intercept form:


[tex] y-8=-3(x-1) [/tex]


[tex] y-8=-3x+3 [/tex]


[tex] y=-3x+11 [/tex] <----- Slope-intercept form

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