Our task was to create a linear equation in general form parallel to a line assigned to our favourite season which passes through coordinates matching our birthday. (day, month) As my favourite season is fall, my equation had to be parallel to 7x – 2y – 8 = 0. After doing all the calculations, the new line passing through my birthday coordinates is 0 = 7x – 2y +1 in general form. (My birthday is July 25) Indeed, the slope is 7/2 and the y-intercept is at (0,1/2). In other forms, this equation is equal to y = 7/2x + 1/2 in slope-intercept form, and y – 25 = 7/2 (x – 7) in point-slope form. I have included a screenshot from Desmos graphing calculator showing the original line in red, and my new line in blue.
Linear Equations in General Form
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