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Write the equation of the line that passes through (2, 4) and has a slope of −1 in point-slope form. (2 points)

x − 4 = −1(y − 2)
x − 2 = −1(y − 4)
y − 2 = −1(x − 4)
y − 4 = −1(x − 2)

Respuesta :

The equation of the line that passes through [tex](2, 4)[/tex] and has a slope of −1 in point-slope form is [tex](y-4)=-1(x-2)[/tex].

The equation of a line that pass through a point [tex](x_1, y_1)[/tex] and having slope [tex]m[/tex] is [tex](y-y_1)=m(x-x_1)[/tex].

Here, point is [tex](2,4)[/tex] and slope is [tex]-1[/tex].

So, take [tex]x_1=2, y_1=4[/tex], and [tex]m=-1[/tex].

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-4)=-1(x-2)[/tex]

So, the equation is [tex](y-4)=-1(x-2)[/tex].

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