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

Answer:

$y-(-3)=-\frac{3}{5}(x-6)$

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

By using the formula

Slope of the line,$m=\frac{-3-0}{6-1}=-\frac{3}{5}$

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$-\frac{3}{5}$

$y-(-3)=-\frac{3}{5}(x-6)$

This is required equation of the  given line.

Answer 2

Answer:

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

Step-by-step explanation: