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.

-1 -6

1 -2

3 2

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}