Question

Write an equation of the line that passes through the given point and has the given slope. (1,-5); slope: - 2/3 SLOPE INTERCEPT FORM​

Answer 1

y =
`-(2)/(3)` x -
`-(13)/(3)`

Explanation:

Given dimensions:

Slope =
`-(2)/(3)`

Coordinates = (1, -5)

Now;

Equation of the line through the given points;

Solution:

The equation of a line is given as;

y = mx + c

x and y are the coordinates

m is the slope

c is the intercept

So;

let us find the y-intercept;

-5 =
`-(2)/(3)` x 1 + C

c = -5 +
`(2)/(3)` =
`-(13)/(3)`

The equation of the line is ;

y =
`-(2)/(3)` x -
`-(13)/(3)`