Question

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

Answer 1

Answer:

x + y = 7

Explanation:

slope formula:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

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

$\sf slope \ (m) : \dfrac{1-3}{6-4} = -1$

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

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

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

$\sf y = -x + 7$

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

Answer 2

• (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