Question

Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

Parallel to y=−3/4x, through (4, -1)

Answer 1

y = -3/4x + 2

Explanation:

The line is parallel to y = -3/4x and passes through the point (4, -1)

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Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

⇒ y = -3/4x + 2 [in slope-intercept form]