Line cd passes through points c(3, –5) and d(6, 0). what is the equation of line cd in standard form? 5x + 3y = 18 5x – 3y = 30 5x – y = 30 5x + y = 18

Theequation of line CD passes through points and in standard form is and it matches with.

Further explanation:

It is given that a line passes through points and.

The slope of a line passes through points andis calculated as follows:

Here, the slope of a line is denoted as and points are and.

Substitute for , for , for and for in equation (1) to obtain the slope of a line that passes through pointsand.

Therefore, the slope is .

The point-slope form of the equation of a line with slope passes through point is represented as follows:

Substitute  for , for and for in equation (2) to obtain the equation of line.

Further simplify the above equation.

Therefore the equation of line CD is .

Now, the four options are given below.

From above data, it is observed that OPTION Bmatches with the obtained solution.

Thus, theequation of line CD passes through points and in standard form is and it matches with.

Learn more:

1. Which classification best describes the following system of equations?

2. What is the value of in the equation when ?

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47