Slope = (10 - 5)/(-9 + 15) = 5/6
y = mx + b where m = slope and b = y-intercept
b = y - mx
b = 5 - (5/6) (-15)
b = 5 +12.5
b = 17.5
Equation y = 5/6 x + 17.5
Y-intercept = 17.5
X-intercept when y = 0
So
5/6 x + 17.5 = 0
5/6 x = -17.5
x = (-17.5) (6/5)
x = -21
Answer
Y intercept (0, 17.5 )
X intercept (-21 , 0)
Treat this as an ordinary linear equation. Try to isolate x, as some value. Also remember the basic rules of inequalities: If you're dividing, or multiplying, by a negative, you flip the inequality.
One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:
When
x=0,f(x)=0
x=1,f(x)=1^2=1
x=2,f(x)=2^2=4
x=3,f(x)=3^2=9
x=4,f(x)=4^2=16
The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,
x=−1,f(x)=(−1)2=1*−1=1
x=2,f(x)=(−2)2=−2*−2=4
The graph of f(x)=x^2 is called a "Parabola." It looks like this:
Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
y =2x+3
Exchange x and y
x = 2y+3
Solve for y, subtracting 3 from each side
x-3 = 2y+3-3
x-3 =2y
Divide each side by 2
(x-3)/2 = 2y/2
1/2x - 3/2 =y
The inverse is 1/2x -3/2