What is the equation of the line that is parallel to the line y -1 =4(x+3) and passes through the point (4,23)
+80 Considering the fact that this line is parallel to the slope represented by this equation, we know that the y-intercept is different, but the slope remains the same.
We change this equation into y = ax+b form:
y = 4x + 13
and substitute the y- intercept for b
y = 4x + b
we then substitute the values of the given coordinate into the equation:
23 = 4(4)+b
then simplify
23 = 16 + b
7 = b
substitute 7 for b, and we get:
\(y = 4x + 7\)
