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1. Find the equation of a line in standard form with x - intercept 3 and y - intercept 6​

Sagot :

Nyle07idn

The answer is 2x + y = 6.

Step-by-step explanation:

To find the linear equation using the x and y-intercepts, use this formula x/a + y/b = 1. In which, a = x-intercept and b = y-intercept.

Solution:

1. Identify the values

x-intercept (a) = 3

y-intercept (b) = 6

2. Substitute the values to the formula, then solve it.

x/a + y/b = 1

x/3 + y/6 = 1

  • Multiply both sides of the equation by 6, the least common multiple of 3 and 6.

2x + y = 6

  • It is already in the standard form of the linear equation, ax + by = c.
  • Still, you can transform it into slope-intercept form, just to know its slope.

y = -2x + 6

TO CHECK IF THE SLOPE IS CORRECT:

Use the formula m = y2 - y1/ x2 - x1 (y2 is read as y sub 2).

x-intercept (a) = 3

  • (3,0)

y-intercept (b) = 6

  • (0,6)

m = 6 - 0/0 - 3

m = 6/-3

m = -2

- I hope this can help you a lot. :)

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