Question

The line y= 4x -8 meets the x-axis at the point A. Find the equation of the line with gradient 3 that passes through the point A.

Answer 1

Answer:

3x + y = 6

Step-by-step explanation:

Since the given line passes through the point (A, 0) i.e. through point A on x axis, it must satisfy the given equation of line.

⇒ y = 4x - 8

⇒ 0 = 4A - 8

⇒ 8 = 4A

⇒ 8/4 = A

⇒ 2 = A

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Now we have to find the equation of another line whose slope is 3 and passes through (A, 0) or (2, 0).

Using point slope form:

➝ y - y1 = m(x - x1)

➝ y - 0 = 3(x - 2)

➝ y = 3x - 6

➝ 3x + y = 6

This is the required equation of line.