To find the equation of the line, we first need to find the slope (m) of the line using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the coordinates (9,3) and (6,4), we have:
m = (4 - 3) / (6 - 9)
m = 1 / (-3)
m = -1/3
Next, we substitute the slope and one of the given points (6,4) into the slope-intercept form (y = mx + b) and solve for the y-intercept (b).
4 = (-1/3)(6) + b
4 = -2/3 + b
b = 4 + 2/3
b = 12/3 + 2/3
b = 14/3
Finally, we substitute the slope (-1/3) and y-intercept (14/3) into the slope-intercept form to obtain the equation of the line:
y = (-1/3)x + 14/3
Write the equation of the line in fully simplified slope-intercept form.
(9,3), (6,4)
1 answer