The slope intercept form looks like this: y = mx + b
And the standard form looks like this: Ax + By = C
We will be algebraically manipulating the standard form into the slope intercept form.
So, we have the equation 7x - y = -3.
We need to solve for y.
We can get y on its own if we somehow take out the 7x term on the left-hand side.
What we will do is subtract 7x from each side of the equation.
(7x - y) - 7x = -3 - 7x
-y = -3 - 7x
Now we have -y = -3 - 7x. Which is in the slope intercept form. But something is little off. In the slope-intercept form, we have y = mx + b. But we have the form y = b + mx
So, let's fix that.
y = -3 - 7x becomes y = -7x + (-3)
So, y = -7x + (-3) is the answer.
To find X, set up a ratio with the given dimensions:
10/15 = X/42
Cross multiply:
420 = 15x
Divide both sides by 15:
x = 420 / 15
x = 28
A mixed number consists of a whole number and a fraction.
23.7523 will be the whole number.
0.75 will be the fraction.
To convert 0.75 into a fraction, set it over 100 and simplify.
The following is a relation because each x doesn’t only have one y; the following is a relation because two Ys have the same X
