9514 1404 393
Answer:
- slope: 3/4
- y-intercept: -3
Step-by-step explanation:
To put the equation in slope-intercept form, solve for y.
-3x +4y = -12
4y = 3x -12 . . . . . . add 3x
y = 3/4x -3 . . . . . . divide by 4
This tells you the slope (coefficient of x) is 3/4, and the y-intercept is -3.
Points you can plot using this knowledge are ...
(0, -3) . . . . y-intercept
(4, 0) . . . . . x the first non-zero multiple of 4; makes the x-term an integer
The line will go through these two points.
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Additional comment
The given equation is in the form ...
ax +by = c
In this form, the intercepts are easily found by setting the other term to zero.
x-intercept: x = c/a . . . . = -12/-3 = 4
y-intercept: y = c/b . . . . = -12/4 = -3
When the intercepts are integers, it can be easier to draw the line through them, than to mess with the slope calculation.
