Respuesta :

Parallel lines have the same slope
Y = -8x + 8
The slope will be -8
Therefore: y = -8x + b
Plug in the point
7 = -8(9) + b
7 = -72 + b, b = 79

Solution: y = -8x + 79

hello!

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parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)

now, we are also given a point that the line passes through:

(9, 7)

we can use point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)

now, convert to slope-intercept form, if necessary:

[tex]\pmb{y-7=-8x+72}[/tex]

[tex]\pmb{y=-8x+72+7}[/tex]

[tex]\pmb{y=-8x+79}[/tex]

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note:-

Hope everything is clear; if you need any more explanation, kindly let me know.