Answer:
y = -1/2x + 2
Step-by-step explanation:
Given the following points on the line:
(0, 2) and (6, -1)
We need to find the slope of the line using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (0, 2)
(x2, y2) = (6, -1)
Plug these values into the slope-formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 2) / (6 - 0)
m = -3 / 6
m = -1/2
Therefore, the slope of the line is -1/2.
Next, we need to find the <em>y-intercept</em> of the line. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. If you look at the graph, you'll see that the line crosses the y-axis at point (0, 2), which happens to be one of the points we used earlier. The y-coordinate of (0, 2) is the y-intercept.
Therefore, the y-intercept (b) = 2.
We can write the linear equation as follows:
y = -1/2x + 2
There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm
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Answer:
x = 0.5, one solution
Step-by-step explanation:
6+1 = -6x + 10
7 = -6x + 10
-3 = -6x
6x = 3
x = 3/6
x = 1/2
x = 0.5
