General linear equation: ax + by = c
The general equation of a line is shown here, where a, b, and c are real numbers, with a and b not simultaneously zero. Solve the equation for y and note the slope (coefficient of x) and y-intercept (constant term). Use these to find the slope and y-intercept of the following lines, without solving for y or computing points.
a. 3x + 4y = 8
b. 2x + 5y= − 15
c. 5x − 6y = − 12
d. 3y − 5x = 9
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