Question

The line y =
x +
passes through (−3, 7) and is parallel to y = 4x − 1.

Answer 1

Lines parallel to y = 4x − 1 have slope 4. Put slope 4 into y = 4x + b and use (−3, 7):

7 = 4(−3) + b → 7 = −12 + b → b = 19.

So the line is y = 4x + 19.