Question

Write an equation in standard form for a line passing through the points (4.2, –9) and (6.2, –8).

a) –2x – y = –11.1
b) 2x – y = 11.1
c) negative one-half x plus y equals negative 11.1
d) one-half x plus y equals 11.1

Answer 1

The equation in standard form for a line passing through the points (4.2, -9) and (6.2, -8) is -x + 2y = -22.2

Step-by-step explanation:

The equation in standard form for a line passing through the points (4.2, -9) and (6.2, -8) can be found using the formula:



(x - x1) / (x2 - x1) = (y - y1) / (y2 - y1)



Substituting the given points, we get:



(x - 4.2) / (6.2 - 4.2) = (y + 9) / (-8 + 9)



Simplifying, we get:



(x - 4.2) / 2 = (y + 9) / 1



Multiplying both sides by 2, we get:



x - 4.2 = 2(y + 9)



Expanding, we get:



x - 4.2 = 2y + 18



Rearranging terms, we get:



x - 2y = 22.2



Therefore, the equation in standard form for the line passing through the points (4.2, -9) and (6.2, -8) is -x + 2y = -22.2.