Slope intercept form: y = mx + b
When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.
From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).
y = -1/2x + b
Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.
3 = -1/2(-5) + b
3=2.5 + b
b = 0.5
ANSWER: y = -1/2x + 0.5
THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5
Answer:
x > 3
Step-by-step explanation:
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She could use the following methods:
8 dimes
16 nickles
2 quarter and 3 dimes
2 quarters and 6 nickles
so, 4 combos
Answer:
f(x + 2) = 3x + 2
Step-by-step explanation:
Simply replace wherever you find x in the function f(x) with (x + 2), like so:
f(x + 2) = 3(x + 2) - 4
f(x + 2) = 3x + 6 - 4
f(x + 2) = 3x + 2