1)
The equation is written in y = mx + b form, so m is the slope. m is what multiplies x. In your case, -4/5 multiplies x, so -4/5 is the slope.
2)
To find the slope, subtract the y-coordinates. Then subtract the x-coordinates in the same order. The slope is the first difference divided by the second difference.
Difference in y: 1 - 5 = -4
Difference in x: 4 - 2 = 2
m = slope = -4/2 = -2
Answer:
Parallel line to a: y=1/4x+1
Perpendicular to line a: y=-4x-3
Neither parallel nor perpendicular to line a
: y=4x-8
Step-by-step explanation:
I just took this test and these were my answers!
Answer:
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Step-by-step explanation:
To find f(19) , substitute the value of x that's 19 into f(x). That is for every x in f (x) replace it with 19
We have
We have the final answer as
Hope this helps you
Answer:
small number is 14
Larger number is 31
Step-by-step explanation:
Let x = one number
Let y = the second number
x + y = 45
x = y - 17
Put y - 17 into the top equation for x
y - 17 + y = 45
2y - 17 = 45 Add 17 to both sides
2y = 45 + 17
2y = 62 Divide by 2
y = 62/2
y = 31
Answer:
Step-by-step explanation:
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
