The equation of line c is y = 5x - 2/5. Line d is parallel to line c and passes through (2,6). What is the equation of line d? 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 c is y = 5x - 2/5. Line d is parallel to line c and passes through (2,6). What is the equation of line d? 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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Find Slope of Line c: Determine the slope of line c. Line c has the equation y = 5x - 2/5. The slope of a line in the form y = mx + b is m, where m is the coefficient of x. The slope of line c is 5.Determine Slope of Line d: Since line d is parallel to line c, it must have the same slope. Parallel lines have the same slope. Therefore, the slope of line d is also 5.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 5 and the point (x1, y1) is (2, 6). Plugging these values into the point-slope form gives us y - 6 = 5(x - 2).Simplify Equation for y-Intercept: Simplify the equation to find the y-intercept (b) of line d. Expanding the equation from Step 3, we get y - 6 = 5x - 10. Adding 6 to both sides to solve for y gives us y = 5x - 10 + 6. Simplifying the right side, we get y = 5x - 4.Write Final Equation: Write the final equation of line d in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. From Step 4, we have the slope m = 5 and the y-intercept b = -4. Therefore, the equation of line d in slope-intercept form is y = 5x - 4.

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