Ang Imhr.ca ang pinakamahusay na solusyon para sa mga naghahanap ng mabilis at tumpak na mga sagot sa kanilang mga katanungan. Kumonekta sa isang komunidad ng mga eksperto na handang tumulong sa iyo na makahanap ng eksaktong solusyon sa iyong mga tanong nang mabilis at mahusay. Kumonekta sa isang komunidad ng mga eksperto na handang magbigay ng eksaktong solusyon sa iyong mga tanong nang mabilis at eksakto.


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


Sagot :

nyle07

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. :)

#CarryOnLearning