Line g has an equation of y = 1/3x - 1. Parallel to line g is line h, which passes through the point (10,2). What is the equation of line h? 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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Line g has an equation of y = 1/3x - 1. Parallel to line g is line h, which passes through the point (10,2). What is the equation of line h? 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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Parallel Lines Slopes Match: Line h is parallel to line g. Do their slopes match? Slopes of parallel lines are equal.Equation of Line g: Equation of line g:  y = 1/3x - 1 Find the slope of line g. Compare y = 1/3x - 1 with y = mx + b. m = 1/3 Slope of line g: 1/3Slope of Line h: Line h is parallel to g. Slope of line g: 1/3 Find the slope of line h. Since line h is parallel to line g, its slope is also 1/3. Slope of line h: 1/3Finding Y-Intercept: For line h:  Slope (m): 1/3  Point: (10, 2)  Plug these values in y = mx + b and find the y-intercept. 2 = 1/3(10) + b  2 = 10/3 + b 2 - 10/3 = b 6/3 - 10/3 = b -4/3 = bEquation of Line h: For line h:  Slope (m): 1/3  y-intercept (b): -4/3  What is the equation of the line h in slope-intercept form? Substitute 1/3 for m and -4/3 for b in y = mx + b.  y = 1/3x - 4/3

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