Answer:
27
Step-by-step explanation:
The equation of the line in standard form is 3x - 5y = 26
Step-by-step explanation:
Let us revise the forms of the linear equation
- The slope intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept
- The point-slope form is , where m is the slope of the line and is a point on the line
- The standard form is Ax + By = C, where A, B, and C are constant
- The general form is Ax + By + C = 0, where A, B, and C are integers
∵ The line passes through point (2 , -4)
∵ The slope of the line is
- Let us using the point-slope form and then change it to the
standard form
∵ = 2 and = -4
∵ m =
- Substitute these values in the form of the equation below
∵
∴
∴
Let us change it to standard form
- Multiply each side my 5 to cancel the denominator in the
right hand side
∴ 5(y) + 5(4) = 3(x - 2)
- Simplify the two sides
∴ 5y + 20 = 3x - 6
- Add 6 to both sides
∴ 5y + 26 = 3x
- Subtract 5y from both sides
∴ 26 = 3x - 5y
- Switch the two sides
∴ 3x - 5y = 26
The equation of the line in standard form is 3x - 5y = 26
Learn more:
You can learn more about the linear function in brainly.com/question/12363217
#LearnwithBrainly
Answer:
-2 / 25 + (11 / 25) i
Step-by-step explanation:
Hope this helps :)