A linear function is represented by the table below. Draw a line on the coordinate grid that has a greater
y-intercept than the function represented by the table and is perpendicular to the function y + (1/4)x = 2. x y -1 -6 1 -2 3 2
Find the slope of the line represented by the given table.
y2 - y1 ---------- = slope of a line x2 - x1 (-1,-6) and (1,-2) are two given points. -2 - (-6) ---------- = slope of the line given by the table {substituted coordinates into slope formula} 1 - (-1) 4 --- = slope of the line {simplified in numerator and denominator} 2 slope = 2 Find the y-intercept of the line represented by the given table. Slope-intercept form is y = mx + b m is the slope b is the y-intercept (-1,-6) and m = 2 are a point and slope of the line represented by the given table. -6 = 2(-1) + b {substituted point and slope into slope-intercept form} -6 = -2 + b {multiplied 2 by -1} b = -4 {added 2 to each side} Find the slope that is perpendicular to the line represented by the given equation. Perpendicular lines have slopes which are negative reciprocals. The given equation is y + (1/4)x = 2. y = (-1/4)x + 2 {subtracted (1/4)x from each side} slope = -1/4 {slope-intercept form is y = mx + b, where m is the slope} perpendicular slope is 4 {perpendicular lines have slopes which are negative reciprocals} A line that has a greater y-intercept than the line represented by the given table and perpendicular to the line y + (1/4)x = 2 could be: y = 4x + 1 To graph: - put a point on 1 on the y-axis {1 is the y-intercept of this line} - from there, move up 4 and to the right 1 and put another point {slope is 4, thus rise is 4 and run is 1} Comments are closed.
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