Answer:
Slope: 3 Y-intercept: 6
Step-by-step explanation:
You want to put this equation into y=mx+b form so it's easier to tell.
Add 3x on both sides.
y = 3x + 6
The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).
To write the equation of the line, we will use the point-slope formula.
To do this, we need a point and a slope.
We can find out slope by using the slope formula.
m = y₂ - y₁ / x₂ - x₁
So we have 5 - 9 / 3 - 1 or -4/2 which is -2.
Now let's use the point-slope formula.
y - y₁ = m(x - x₁)
Now substitute one of our points (x₁, y₁) into our formula.
So we have y - 5 = -2(x - 3).
Distributing the -2 gives us y - 5 = -2x + 6.
Moving the -5 to the right, we have y = -2x + 11.
So y = -2x + 11 is our equation.
B; make sure to make the denominators equal before adding
Answer and Step-by-step explanation:
The independent variable is m, and the dependent variable is h.
This is because you can plug in any value for m, making m NOT have to depend on any other value to become m.
With h, it needs the result of m and its other values to become the result of h. H relies/depends on the values in the equation to become a value.
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In #3, you are given the base and the height of the triangle, so you need only substitute these numerical values into the formula for the area of a triangle of base b and height h:
bh
A= ------ Would you please do this now? A = ?
2
