• Given the table of values, you can identify these points:
If you plot them on a Coordinate Plane, you get:
As you can observe, it is a Linear Function.
• The equation of a line in Slope-Intercept Form is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you can identify in the graph that:
Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:
And then solve for "m", in order to find the slope of the line.
Using this point:
You get:
Therefore, the equation for the data in Slope-Intercept Form is:
Hence, the answer is:
• It represents a Linear Function.
,
• Equation:
Answer:
(2,3)
Step-by-step explanation:
The only two numbers all three share
<h2>approximately 93 million miles Definition of astronomical unit. For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our sun. An AU is approximately 93 million miles (150 million km). It's approximately 8 light-minutes.</h2>
1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.
To find the y-intercept, solve for "b".
b=-7/3
Our equation would then be y=2/3x-7/3
2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.
b=-11
So our perpendicular equation would be y=-3/2x-11
Hope that was helpful. :)
Answer:
x = ±√37/9
Step-by-step explanation:
x² = 37/81
√(x²) = √(37/81)
x = ± √(37)/√(81)
x = ± √37/9
