How do you graph equations

1 answer:

7 0

Yes, so start by solving for y by subtracting everything else to the opposite side of the = from y.

1. y = 5 - x
2. y = x - 1

Now that we have our two equations in point-slope form, we can create graphs.

Our point-slope form is y = mx + b where m = slope of line and b = y-intercept.

The slope of equation 1. is -1 and the slope of equation 2. is 1

The y-intercept (how much the line goes up or down on the y-axis) for equation 1. is 5 and the y-intercept of equation 2. is -1

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For the point P(21,19) and Q(28.24), find the distance d(P,Q) and the coordinates of the

neonofarm [45]

Answer:

1. √74; 2. (24.5, 21.5)

Step-by-step explanation:

1. Distance

You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.

Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

$\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 7^{2} + 5^{2}\\ & = & 49 + 25\\& = & 74\\PQ& = & \mathbf{\sqrt{74}}\\\end{array}\\\text{d(P,Q) = $\large \boxed{\mathbf{\sqrt{74}}}$}$