The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.
You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.
The equation becomes y= -1/4x + 0
Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.
Answer is y = -1/4x
Hello!
So the equation that you want to use is
y = mx + b
Now you can plug in both the slope and your points to find b.
3 = -1/2(2) + b
3 = -1 + b
4 = b
So now that we've found b, we can use the original equation and only plug in the slope and b
y = -1/2x + 4
So to find the y-intercept, we need to plug in 0 for x
y = -1/2(0) + 4
y = 0 + 4
y = 4
Your y-intercept is (0,4)
Hope this helps!
Answer:
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Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
