The equation for line c can be written as y= – 6 7 x–1. Line d is parallel to line c and passes through (10, – 9). What is the equation of line d?

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Understand Relationship of Slopes: Understand the relationship between the slopes of parallel lines. Parallel lines have the same slope.Identify Slope of Line c: Identify the slope of line c from its equation. The equation of line c is given as y = -6/7x - 1. The slope (m) of line c is the coefficient of x, which is -6/7.Determine Slope of Line d: Since line d is parallel to line c, determine the slope of line d. The slope of line d is the same as the slope of line c because parallel lines have equal slopes. Therefore, the slope of line d is also -6/7.Use Point-Slope Form: Use the point-slope form to find the equation of line d. The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We know the slope (m) is -6/7 and the point (x1, y1) is (10, -9). Plug these values into the point-slope form to get the equation of line d. y - (-9) = -6/7(x - 10)Simplify Equation to Slope-Intercept Form: Simplify the equation of line d to slope-intercept form. y + 9 = -6/7(x - 10) y + 9 = -6/7x + 60/7 y = -6/7x + 60/7 - 9 Convert 9 to a fraction with a denominator of 7 to combine like terms. y = -6/7x + 60/7 - 63/7 y = -6/7x - 3/7

The equation for line $c$ can be written as $y= -\frac{6}{7}x-1$ . Line $d$ is parallel to line $c$ and passes through $(10, -9)$ . What is the equation of line $d$ ?

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The equation for line $c$ can be written as $y= -\frac{6}{7}x-1$ . Line $d$ is parallel to line $c$ and passes through $(10, -9)$ . What is the equation of line $d$ ?