Mathematics: Find the equation of the line that is perpendicular to the given line and passes through the given point. y = −1/2x − 3; (14, 0) The equation is y = ?

It is letter b.70* because you add up 35+35 and get 70hope this helps!have a nice day!please mark brainliest!:-) :-D ^_^ :)...

Find the equation of the line that is perpendicular

Ответ:

douglife5098

10.02.2022

Mathematics

y=2x-28

Step-by-step explanation:

Slope intercept form:

y=mx+b

where:

m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

$\frac{1}{3}$ → flip the fraction and change the sign →

-5 or $-\frac{5}{1}$ → flip the fraction and change the sign → $\frac{1}{5}$

$\frac{5}{7}$ →flip the fraction and change the sign → $-\frac{7}{5}$

So find the opposite reciprocal of the given slope:

$y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}$

Flip the fraction and change the sign:

$-\frac{1}{2}$ → $\frac{2}{1}$ or

Now insert the new slope and the given points into point-slope form:

$y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)$

Solve the equation for y. Use the distributive property:

$y-0=2(x)+2(-14)\\\\y-0=2x-28$

Simplify:

y=2x-28

:Done

0,0(0 оценок)

Find the equation of the line that is perpendicular to the given line and passes through the given point. y = −1/2x − 3; (14, 0)

The equation is y = ?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question