Question

Find the equation of the straight line passing through each of the following pairs of points.

( 0, 3) and (4, 11)

Answer 1

Answer: y = 2x+3

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Step-by-step explanation:

We first need to find the slope

`(x_1,y_1) = (0,3) \text{ and } (x_2,y_2) = (4,11)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (11 - 3)/(4 - 0)\\\\m = (8)/(4)\\\\m = 2\\\\`

The y intercept is b = 3 due to the point (0,3). This is where the graph crosses the y axis. The y intercept always occurs when x = 0.

Since m = 2 and b = 3, we go from y = mx+b to y = 2x+3

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Check:

• Plug in x = 0 to find that y = 3
• Plug in x = 4 to find that y = 11

I'll let you do these steps.

Another way to verify is to use graphing tools like GeoGebra, Desmos, or a TI83/TI84 graphing calculator.