Consider the linear equation .

MATHEMATICS · Multi-part · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

Consider the linear equation 2y−6=−3(x+4)2y - 6 = -3(x + 4). (i) Identify the slope and one point on the line represented by this equation. (ii) Convert the given equation to slope–intercept form. (iii) Rewrite the equation obtained in part (ii) in general form Ax+By+C=0Ax + By + C = 0 with integer coefficients and A>0A > 0. (iv) The line is reflected in the x-axis. Obtain the slope–intercept form of the image line.

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