Answer:
y = -6x - 5
Step-by-step explanation:
To find the equation using the point-slope equation, we need the slope and the y-intercept of the line
<u>Finding the slope of the line:</u>
We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)
Slope = Rise / Run
Rise of the line = y1 - y2
Rise = 1 - (-5)
Rise = 1 + 5
Rise = 6
Run of the line = x1 - x2
Run = -1 - 0
Run = -1
Slope of the line:
<em>Slope = Rise / Run</em>
<em>Slope = 6 / -1</em>
<u>Slope = -6 </u>
<u></u>
<u>Finding the y-intercept:</u>
y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis
From the graph, we can see that the line intersects the y-axis at (0 , -5)
y-coordinate of the point = -5
<u>y-intercept = -5</u>
<u></u>
<u>Equation of the line:</u>
This is the general formula of the slope-intercept:
y = mx + b (where m is the slope of the line and b is the y-intercept )
Replacing the variables
y = (-6)x + (-5)
y = -6x - 5
Answer:
None!
Step-by-step explanation:
First off, what is an integer? An integer is a number that is not a fraction or a whole number but it can be negative or positive.
-5 and -6 are both integers and they are both consecutive integers meaning that they are following one another. So they is no integer between -5 and -6.
You have to divide 140 /5=28
Answer:
should be 43
Step-by-step explanation:
because it goes up by 2 every time
Answer:
8a^3
Step-by-step explanation:
Given that;
2^x = a, we want an expression for 8^(x + 1)
we have this as;
8^(x + 1) = 8^x * 8^1
8^x = (2^x)(3)
8^x is thus same as 2^3x
So replace 2^x by a
Thus, we have a^3
Multiply this by the 8 we had initially; that will give;
8 * a^3 = 8a^3
