Line j has an equation of y=-(9)/(7)x+(10)/(7). Line k is parallel to line j and passes through (-4,4). What is the equation of line k ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Question

Line  j has an equation of  y=-(9)/(7)x+(10)/(7). Line  k is parallel to line  j and passes through  (-4,4). What is the equation of line  k ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Bytelearn · Accepted Answer

Find Slope of Line j: Determine the slope of line j. Line j has an equation of y=-(9)/(7)x+(10)/(7). The slope of line j is the coefficient of x, which is -(9)/(7).Determine Slope of Line k: Since line k is parallel to line j, it will have the same slope. The slope of line k is therefore also -(9)/(7).Use Point-Slope Form: Use the point-slope form to find the equation of line k. Line k passes through the point (-4,4) and has a slope of -(9)/(7). The point-slope form of the equation of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.Substitute Slope and Point: Substitute the slope and the point into the point-slope form. Using the point (-4,4) and the slope -(9)/(7), the equation becomes: y - 4 = -(9)/(7)(x - (-4))Simplify the Equation: Simplify the equation. y - 4 = -(9)/(7)(x + 4) y - 4 = -(9)/(7)x - (9)/(7)*4 y - 4 = -(9)/(7)x - (36)/(7)Solve for y: Solve for y to put the equation in slope-intercept form. y = -(9)/(7)x - (36)/(7) + 4 y = -(9)/(7)x - (36)/(7) + (28)/(7) y = -(9)/(7)x - (8)/(7)

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