Find the equation of the line that goes through (2, 7) and is parallel to y=4.  Write the equation in the form y=mx+b.
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Find the equation of the line that goes through (2, 7) and is parallel to y=4. Write the equation in the form y=mx+b.

The line y=4 is parallel to the x-axis, and cuts the y-axis at y = 4. The gradient of this line is m = 0.

The equation of the wanted line iis thus y = mx + b, with m = 0.

i.e. y = b

The line y = b passes through the point (2,7) which point has a y-value of b = 7.

The equation of the wanted line is y = 7

by Level 11 User (80.5k points)

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