Question

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

Answer 1

Y=3/2 because It passes through the point

Answer 2

Answer:

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

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