Please help with writing equations? 4 questions? 1) Write the equation of the line which passes through (5, –2) and is parallel to x = 4. 2) Write the equation of the line which passes through (2, 1) and is perpendicular to x = –2. 3) Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form. 4) Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 in standard form.
@alexwee123
well i already gave you the answer for #1 ^.^ #2) because the equation is perpendicular to x=-2 then the equation would be y=1 because they two equations need to form a 90 degree angle when they intersect #3) the slope of y = 4x + 7 is 4 and the perpendicular of this is -1/4 so using point slope equation we would get this \[y+3=-.25(x-2)\] now just solve out for "y" then you would get your equation :)
I just don't know how to make equations for them... @alexwee123
which part of making equation don't you understand?
Like what you said for #2) because the equation is perpendicular to x=-2 then the equation would be y=1 because they two equations need to form a 90 degree angle when they intersect... How would i set that up into an equation...
oh ok so the problem tells you that x = –2 so the slope of this equation is undefined because x=-2 is a vertical line and the perpendicular slope of undefined is 0. so you can substitute the slope and the point into the point-slope equation. |dw:1344488071997:dw|
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