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write the equation of the line that satisfies the given conditions.give the equation (a) in the slope-intercept form and (b) in standard form. through (-5,7); perpendicular to x=8

Respuesta :

In order for a line to be perpendicular to another, the product between the slopes needs to be equal to -1.

since the line x=8 is a vertical line and does not have a slope multiplying a variable, the perpendicular line needs to be a horizontal line.

the general equation for a horizontal line:

[tex]y=c[/tex]

if it needs to pass through the point (-5,7), the y-coordinate will determine the equation

[tex]y=7[/tex]

Answer:

[tex]y=7[/tex]

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