Question

What is the equation of the line that passes
through the points (2,7) and (0, 6)?

Answer 1

y = 1/2(x) + 6

Explanation:

The slope-intercept equation of a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In this case, so far, we're given the y-intercept as 6.

• The equation looks like this now: y = mx + 6.

Next, to find the slope, we use the formula
`(y_2-y_1)/(x_2-x_1)` and plug in values of the two points.

• 
  `(6-7)/(0-2)`
• 
  `-1/-2`
• 
  `1/2`
• m = 1/2

Therefore, the equation is y = 1/2(x) + 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡