Answer:
C
Step-by-step explanation:
Both lines start and end on x = 3
The lower line has a positive slope and a y- intercept of - 2
The lower line has an open circle at it's endpoint indicating it cannot equal 3
x - 2 for x < 3
The upper line has a positive slope and a y- intercept of - 1, if we project the line. The line has a closed circle at it's start indicating it can equal 3, thus
x - 1 for x ≥ 3
Hence
x - 1 if x ≥ 3
x - 2 if x < 3 → C
No 2/3 and 5/6 are not equivalent ratios
.
Answer: y = x + 2 OR f(x) = x + 2
Step-by-step explanation:
Calculating slope:
Remember rise over run; when going from one point to another point, in this case from (-3, -1) to (0,2), locate the distance moved in the x and y directions. This scenario moves 3 up and 3 right, meaning a positive slope of one. However, if the line was directed left, your slope would be negative.
Finding y-intercept:
Where does the line intersect the y-axis and have a x-value of 0? This is your y-intercept --> (0,2).
Write Equation:
y = mx +b
y = 1x + 2
y = x + 2 <em>(your final answer)</em>
Subtracting a negative means that you will add the number. Convert the symbols to get the following:
y + 10 = 12
Subtract 10 from both sides.
y = 2
