4(a). Find the equation y = ax + b of the line passing through (2,3) and...

4(a). Find the equation y = ax + b of the line passing through (2,3) and (5,8). (Your answer should be an equation of the form y = ax + b, for some constants a and b.)

(b) Find the equation y = ax^2 + bx + c of the parabola passing through the points (-2, -6), (1,6), and (3,4). (Your answer should be an equation of the form y = ax^2 + bx + c, for some constants a, b, and c.)

Hint: Substituting the x- and y-coordinates of a point into the equation y = ax^2 + bx + c will produce a linear equation in a, b, and c. Do this for the three given points to get the three linear equations. Then solve the system of linear equations.

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Expert Solution

Colby Messinger answered 1 year ago

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