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(the answer is at the bottom of all this text.)
To find the sum of the y-intercept and the slope of the linear equation 6x - 9y = 3, follow these steps:
rearrange the equation in slope-intercept form (y = mx + b):
-9y = -6x + 3
solve for y by dividing both sides by -9:
y = (-6x + 3) / -9
simplify the equation:
y = (2/3)x - (1/3)
now, the equation is in slope-intercept form, where the slope (m) is 2/3, and the y-intercept (b) is -1/3.
to find the sum of the y-intercept and the slope:
b + m = (-1/3) + (2/3) = 1/3
so, the sum of the y-intercept and the slope is 1/3.