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Sagot :
Answer:
x + y = 7
Explanation:
slope formula:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Find slope: given points: E(4, 3), F(6, 1)
[tex]\sf slope \ (m) : \dfrac{1-3}{6-4} = -1[/tex]
Find Equation: [tex]y - y_1 = m(x -x_1)[/tex]
[tex]\sf y - 3 = -1(x - 4)[/tex]
[tex]\sf y = -x + 4 + 3[/tex]
[tex]\sf y = -x + 7[/tex]
[tex]\sf x + y = 7 \quad (in \ standard \ form \ \rightarrow Ax + By = C)[/tex]
- (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
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