Equation if the line that is parallel to 3x+y=10 and passes through (-2,4)

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equation if the line that is parallel to 3x+y=10 and passes through (-2,4)

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Answer:Step-by-step explanation:The equation of a straight line can be represented in the slope-intercept form, y = mx + cWhere c = interceptm = slopeThe equation of the given line is 3x+y=10y = - 3x + c Comparing it with the slope intercept equation, slope, m = -3If a line is parallel to another line, the slope of the line is the same with the slope of the given line. This means that the slope of the line passing through the point (-2,4) is -3We would determine the intercept, c by substituting m = -3, x = -2 and y = 4 into y = mx + c. It becomes4 = -3 × -2 + c4 = 6 + cc = 4 - 6 = - 2The equation becomesy = - 3x + - 2

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