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Find the equation of the line that pass through the point (3, 4) that is parallel to the line \(y = \frac{2}{3}x + 5\) State the solution to the following inequality by graphing, set notation, and interval notation. \(-2 \le -5x + 8 < 13\)

          Find the equation of the line that pass through the point (3, 4) that is parallel to the line \(y = \frac{2}{3}x + 5\)

State the solution to the following inequality by graphing, set notation, and interval notation.
\(-2 \le -5x + 8 < 13\)
        
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Find the equation of the line that pass through the point (3, 4) that is parallel to the line y = (2)/(3)x + 5

State the solution to the following inequality by graphing, set notation, and interval notation.
-2 ≤ -5x + 8 < 13

Added by Douglas P.

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Find the equation of the line that passes through the point (3,4) and is parallel to the line y=x+5. State the solution to the following inequality by graphing, set notation, and interval notation: -2-5x+8<13.
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Transcript

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00:01 We want to write an equation in point slope form.
00:08 Point slope form is y minus y1 equals m times x minus x1, where m is slope, and x1, y1 is a point on the line.
00:24 So we want to write an equation of a line that passes through negative 3, negative 4.
00:33 So that's my x1, y1, and is parallel to 3y plus 5x equals 8.
00:43 Okay, so i first need the slope of that line.
00:46 I'm going to subtract 5x from both sides.
00:52 I'm going to divide everything by 3...
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