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Level 262

Linear Equations in Three Forms


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standard form
Ax + By = C
slope intercept form
A linear equation written in the form: y=mx+b.
point slope form
where m is the slope and (x1, y1) is a point on the line
point slope form is best to use when you know the slope and point that is not the y-intercept
If I know a random point and a slope, which form would the easiest to use to write the equation?
slope intercept works best when you know slope and the y-intercept
If I know the slope and y-intercept, which form of a linear equation should I use?
y-3 = 2(x-2)
Write an equation in point slope form, for a line that passes through (2, 3) with a slope of 2
x = -1
Write the equation of a vertical line through (-1, 6)
y = 6
Write the equation of a horizontal line through (-1, 6)
0
What is the slope of all horizontal lines?
undefined or no slope
What is the slope of all vertical lines?
y+1 = 3(x-2)
Write an equation in point slope form for an equation that is parallel to y = 3x - 4 and passes through (2, -1)
y+1 = -1/3(x-2)
Write an equation in point slope form for an equation that is perpendicular to y = 3x - 4 and passes through (2, -1)
Write y = 2/3x - 4 in standard form
-2x + 3y = -12 or 2x - 3y = 12
y = 2/5x - 2
Write 2x - 5y = 10 in slope intercept form
2/5
What is the slope? 2x - 5y = 7
-7/5
What is the y intercept? 2x - 5y = 7
7/2
What is the x intercept? 2x - 5y = 7
-2/3
What is the slope? y = -2/3x + 4
4
What is the y intercept? y = -2/3x + 4
k = 7/2 or 3.5
If y varies directly with x and y = 7 when x = 2, what is the constant of variation?
y = 7/2 x or y = 3.5 x
if y varies directly with x and y = 7 when x = 2, what is the variation equation?