Alejandro made an error in the steps when determining the equation of the line that is perpendicular to the line 4 x minus 3 y is equal to negative 8 and passes through the point 3 comma negative 2 Step Alejandro's Work 1 The equation written in slope-intercept form is y is equal to 4 thirds x plus 8 thirds , which has a slope of 4 thirds 2 The slope of the line perpendicular to the given line is negative 4 thirds 3 Substituting the point and the new slope into point-slope form results in y minus negative 2 is equal to negative 4 thirds times open paren x minus 3 close paren 4 Simplifying, the equation of the line is y plus 2 is equal to negative 4 thirds times open paren x minus 3 close paren Alejandro made his first error in which step?
Step 1 is correct: solving 4x − 3y = −8 for y gives y = (4/3)x + 8/3, so the slope is 4/3. A perpendicular line must have the negative reciprocal slope, −3/4, not −4/3. Therefore, Alejandro first makes an error in Step 2, where he states the perpendicular slope.
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