Write a slope-intercept form of the equation if it passed the point (4, -1) that parallel to
y= -3/4x

Step-by-step explanation:

We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .

We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .

On using point slope form ,

Substitute the respective values ,

Simplify ,

Multiply both sides by 4 ,

Put all terms on same side , i.e. on LHS ,

Hence the equation of the line is 3x + 4y - 8 = 0.

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