Answer:
The slope of this line would be undefined.
Step-by-step explanation:
In order to find the slope of any line, use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - -1)/(-6 - -6)
m = (3 + 1)/(-6 + 6)
m = 4/0
Since we cannot divide by 0, then we know the slope is undefined.
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
Answer:
C
Step-by-step explanation:
Rbrberbrb
5x + 3 = 38
5x = 38 + 3
5x = 35
x = 35/5
x = 7
Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
