Question

Complete the point-slope equation of the line through (1,0)(1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (6,−3)(6,-3)(6,−3)left parenthesis, 6, comma, minus, 3, right parenthesis. Use exact numbers. y−(−3)=y-(-3)=y−(−3)=y, minus, left parenthesis, minus, 3, right parenthesis, equals

Answer 1

y-(-3)=-0.6(x-6)

Explanation:

Answer 2

`y-(-3)=-(3)/(5)(x-6)`

Explanation:

We are given that the line is passing through the point (1,0) and (6,-3).

We have to find the point- slope equation of the line.

Slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

By using the formula

Slope of the line,
`m=(-3-0)/(6-1)=-(3)/(5)`

Point- slope equation of line with slope m and passing through the point
`(x_1,y_1)` is given by

`y-y_1=m(x-x_1)`

Using the equation,

The equation of the line passing through the point (6,-3) with slope
`-(3)/(5)`

`y-(-3)=-(3)/(5)(x-6)`

This is required equation of the given line.