Question

Indicate the equation of the line meeting the given conditions. Put the equation in standard form.

Containing E(4, 3) and F(6, 1)

Answer 1

• (4,3)
• (6,1)

Slope of the line

• m=(1-3)/6-4
• m=-2/2
• m=-1

Equation in point slope form

• y-3=-1(x-4)
• y-3=-x+4
• y=-x+7
• x+y=7

Answer 2

x + y = 7

Step-by-step explanation:

slope formula:

`\sf slope: (y_2 - y_1)/(x_2- x_1) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Find slope: given points: E(4, 3), F(6, 1)

`\sf slope \ (m) : (1-3)/(6-4) = -1`

Find Equation:
`y - y_1 = m(x -x_1)`

`\sf y - 3 = -1(x - 4)`

`\sf y = -x + 4 + 3`

`\sf y = -x + 7`

`\sf x + y = 7 \quad (in \ standard \ form \ \rightarrow Ax + By = C)`