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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y − 4 = (x − 8). What
is the slope-intercept form of the equation for this line?
Oy=2x-12
O y = -x-4
Oy=x+2
O y = ¹x+6

Respuesta :

Ben

[tex]\large\boxed{y=\frac{1}{4}x+2}[/tex]

The point-slope form is actually [tex]y-4=\frac{1}{4}(x-8)[/tex]; I assume there was a copy/paste issue.

Also, the correct answer is not in the answer choices given; again assuming a copy/paste issue.

Start by distributing the [tex]\frac{1}{4}[/tex] to [tex]x[/tex] and [tex]-8[/tex].

[tex]y-4=\dfrac{1}{4}x-2[/tex]

Add [tex]4[/tex] to both sides of the equation.

[tex]\begin{aligned}y-4+4&=\frac{1}{4}x-2+4\\y&=\frac{1}{4}x+2\end{aligned}[/tex]

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