MHB Finding Intercepts: Simple Steps to Refresh Your Memory

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To find intercepts, identify the x-intercept and y-intercept from the given information. The x-intercept at -1 corresponds to the point (-1,0), while the y-intercept at 2 corresponds to the point (0,2). Plot these points on a graph and draw a line through them to represent the linear equation. This method effectively illustrates how to graph a line using intercepts. The discussion then transitions to solving a second problem related to finding intercepts.
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Not exactly sure how to do this? It is so simple but I forgot how to...
 

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For the first one, we are told the $x$-intercept is at $-1$, this means the point $(-1,0)$ is on the line. Likewise, we are told the $y$-intercept is at $2$, this means the point $(0,2)$ is on the line. Plot those two points, then draw the line that contains those two points.

Can you proceed with the second problem?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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