Question

A line has a slope of negative 2/3 and passes through the point (-3, 8 ) what is the equation of the line

Y= - 2/3x+ six
Y= - 2/3x+8
Y= 6x- 2/3
Y= 8x- 2/3

Answer 1

Answer:

Y= -⅔x +6

(1st option)

Step-by-step explanation:

y=mx +c

m is the gradient

c is the y-intercept

Given that the slope is -⅔, m= -⅔.

Substitute m= -⅔ into the equation:

y= -⅔x +c

To find the value of c, substitute a pair of coordinates.

When x= -3, y= 8,

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

Thus, the equation of the line is y= -⅔ +6.

Answer 2

So you are given point (3, -4) and slope 2. y=mx+b is the basic equation for linear graphs, and in this equation, b is the y-intercept, m is the slope, and y and x are where you can substitute your points.