Answer:
a. 2
b. 2
c. y = 2x +12
d. -1/2
Explanation:
a. The equation of the given line matches the form ...
y = mx + b
with m=2 and b=-8. "m" is the slope of the line, so the slope is 2.
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b. Any parallel line will have the same slope, 2.
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c. The desired equation can be written several ways. One of the ways you can approach this is to use the slope-intercept form above and fill in the given values. Then solve for the unknown b.
6 = 2(-3) +b
12 = b . . . . . . . . . . add 6 to both sides
Then the equation of the line with slope 2 through point (-3, 6) is ...
y = 2x +12
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d. The slope of a perpendicular line is the negative reciprocal of the slope of the line to which it is perpendicular. The negative reciprocal of 2 is -1/2.
The slope of any perpendicular is -1/2.