The equation of line q is y = 3x - 2. Line r is perpendicular to line q and passes through (1,3). What is the equation of line r? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

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The equation of line q is y = 3x - 2. Line r is perpendicular to line q and passes through (1,3). What is the equation of line r? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

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Perpendicular Lines Slopes: Line r is perpendicular to line q. Are their slopes the same or opposite reciprocals? Slopes of perpendicular lines are opposite reciprocals.Equation of Line q: Equation of line q:  y = 3x - 2 Find the slope of line q. Compare y = 3x - 2 with y = mx + b. m = 3 Slope of line q: 3Slope of Line r: Line r is perpendicular to q. Slope of line q: 3 Find the slope of line r. Opposite reciprocal of 3 is -1/3. Slope of line r: -1/3Y-Intercept Calculation: For line r:  Slope (m): -1/3  Point: (1, 3)  Plug these values in y = mx + b and find the y-intercept. 3 = -1/3(1) + b  3 = -1/3 + b 3 + 1/3 = b 10/3 = bEquation of Line r: For line r:  Slope (m): -1/3  y-intercept (b): 10/3  What is the equation of the line r in slope-intercept form? Substitute -1/3 for m and 10/3 for b in y = mx + b.  y = -1/3x + 10/3

The equation of line $q$ is $y = 3x - 2$ . Line $r$ is perpendicular to line $q$ and passes through $(1,3)$ . What is the equation of line $r$ ? $\newline$ Write the equation in slope-intercept form.

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