To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Answer: 1/2?
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
Rational numbers do not have infinite decimals.
Option 1:
-5, 3/4 and √49 are all rational. Correct
√49 = 7
3/4 = 0.75
-5 = -5
Option 2:
1/4 = 0.25
5 = 5
√12 = 3.4641...
Incorrect
Option 3:
-1/2 = -0.5
-3 = -3
√8 = 2.82841...
Incorrect
Option 4:
1/7 = 0.142857...
9 = 9
√11 = 3.31662...
Incorrect
