Mathematics: PLS HELP:( !! What is an equation of the line that is perpendicular to the line y= -2/3x-1 and passes through the point (-4, 2)?

PLS HELP:( !! What is an equation of the line

leonardoocampo7555

04.02.2022

$y = \frac{3}{2} x + 8$

Step-by-step explanation:

The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).

Thus, gradient of given equation= -⅔

The products of the gradient of perpendicular lines is -1.

(Gradient of line)(-⅔)= -1

Gradient of line

$= - 1 \div ( - \frac{2}{3} ) \\ = \frac{3}{2}$

Hence, m= $\frac{3}{2}$ .

Subst. m= $\frac{3}{2}$ into the equation:

$y = \frac{3}{2} x + c$

To find the value of c, substitute a pair of coordinates into the equation:

When x= -4, y= 2,

$2 = \frac{3}{2} ( - 4) + c \\ 2 = - 6 + c \\ c = 2 + 6 \\ c = 8$

Thus, the equation of the line is $y = \frac{3}{2} x + 8$ .

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29delphina

14.10.2020

The answer is D, 7n + 14.

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