Question

Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

Answer 1

3y = -2x -7

Explanation:

The equation of the line;

y =
`-(2)/(3)`x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

the equation of a line is given as;

y = mx + c

where x and y are the coordinate

m is the slope

c is the intercept

To solve this problem,

The slope
`-(2)/(3)` if the same as that of the new line since they are parallel;

Equation of the new line;

x = 4 and y = -5

-5 =
`-(2)/(3)` x 4 + c

-5 =
`-(8)/(3)` + c

c = -5 +
`(8)/(3)`

c =
`-(7)/(3)`

So, the equation of the line is;

y =
`-(2)/(3)`x -
`(7)/(3)`

or ;

3y = -2x -7