Mathematics: Write the equation of a line that passws through the point (1,7) and is perpendicular to y=1/2x-5

Write the equation of a line that passws through

Ответ:

Elency

05.10.2021

y=-2x+5

Step-by-step explanation:

For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope $-1/(1/2)$ = -2$ that passes through the point (1, 7) .

Recall the point-slope form of a line. If you have a point $(x_{1}, y_{1})$ and a slope , the line through that point with the given slope is $y-y_{1}=m(x-x_{1})$ . Plugging in our given point and slope gives our line: y-7=-2(x-1) (point-slope form).