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Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3, 7)?

Which Of These Is A Pointslope Equation Of The Line That Is Perpendicular To Y34x10 And Passes Through 3 7 class=

Sagot :

SOLUTION;

We want the point slope representation of line perpendicular to;

[tex]y-3=4(x-10)[/tex]

and passes through ( -3,7)

The slope of the line given is 4. The slope of the perpendicular line is;

[tex]m=-\frac{1}{4}[/tex]

The equation of the line is;

[tex]\begin{gathered} y-7=-\frac{1}{4}(x--3) \\ y-7=-\frac{1}{4}(x+3) \end{gathered}[/tex]

Thus, the answer is Option B