Question

Write the equation of a line in Point-Slope form that has a slope of -2/3 and

passes through the point (-1,3).

Answer 1

The equation of a line in Point-Slope form is y -3=
`-(2)/(3)` *(x+1)

Explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of
`-(2)/(3)` and passes through the point (-1,3). This is, m=
`-(2)/(3)` and (x1;y1)=(-1;3). Replacing:

y -3=
`-(2)/(3)` *(x-(-1))

This is:

y -3=
`-(2)/(3)` *(x+1)

The equation of a line in Point-Slope form is y -3=
`-(2)/(3)` *(x+1)