Answer:
Yes, she is correct.
Explanation:
21 has the following factors; 1,3,7,21 and 21 is not a factor of 56 so the GCF is 7.
21/3 is 7 and 56/8 is 7 therefore the expression is also correct.
Lines B and C are perpendicular ⇒ answer C
Step-by-step explanation:
The product of the slopes of the perpendicular line is -1
The slopes of the parallel lines are equal
The slopes of two lines are and
1. If × = -1, then the two lines are perpendicular
2. If = , the the two lines are parallel
The equation of a line in slope-intercept form is y = m x + c, where m is
the slope of the line
Line A: y = x + 2
The slope of the line is =
Line B: y = x + 7
The slope of the line is =
Line C: y = 2 x + 4
The slope of the line is = 2
Line D: x +
The slope of the line is =
∵ =
∵ = 2
∵ × 2 = -1
∴ Line B and Line C are perpendicular because the product of their
slopes is -1
Lines B and C are perpendicular
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Answer: y=6x-2
Step-by-step explanation: Make the equation 4=6(1) as you have now inputed the numbers of 1,4 into the equation 1=x 4=y and then subtract 6 both sides and you have -2
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
- y = mx + b
- where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
- Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
The equation of the line is y = 2/3x + 4.