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.

Expert Solution

Colby Messinger answered 1 year ago

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