Question

Составить параметрическое уравнения прямой x+5y-8=0 Помогите пожалуйста

Answer 1

Ответ:

х+5у-8=0

5у-8

х=-3у

3у+5у=8

3+5-8=0

Answer 2

Parametric Equation of the Line x + 5y - 8 = 0

To find the parametric equation of the line represented by the equation x + 5y - 8 = 0, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Let's solve the equation for y:

x + 5y - 8 = 0

5y = -x + 8

y = (-1/5)x + 8/5

From the equation, we can see that the slope of the line is -1/5 and the y-intercept is 8/5.

To find the parametric equation, we can express x and y in terms of a parameter t:

x = t

y = (-1/5)t + 8/5

Therefore, the parametric equation of the line x + 5y - 8 = 0 is:

x = t

y = (-1/5)t + 8/5

This means that for any value of t, we can substitute it into the parametric equations to get the corresponding x and y coordinates on the line.

I hope this helps! Let me know if you have any further questions.