Use the given conditions to write an equation for the line in point-slope form a

Question

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through ( minus 3 3, minus 6 6) and parallel to the line whose equation is y equals negative 3 x plus 4 y=3x+4 Write an equation for the line in point-slope form. nothing (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. nothing (Simplify your answer. Use integers or fractions for any numbers in the equation.) Enter your answer in each of the answer boxes.

Explanation / Answer

Passes through ( -3, -6)

Parallel to a line : y = -3x +4

So, the required line would have slope same as the above given line

So, m = -3

Point slope form : y - y1 = m(x -x1)

y + 6 = -3(x +3)

Slope intercept form : y = mx +c

Re write the above equation : y +6 = -3(x+3)

y + 6 = -3x -9

y = -3x - 15 ( slope intercept form)

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