Question

A line with slope m through (4, 7) has equation y=mx+ _____
What is b?

Answer 1

\(y = mx + b\)

Substitute x and y with the coordinates of the point you were given, and solve for b.

Answer 2

"b" is where the line hits the y axis, which is when x=0

Answer 3

but you have two unknowns, m and b

Answer 4

That's what confused me too, so I was hoping someone else would handle that.

Answer 5

The y-intercept will be in terms of m since m is a variable.

\(y = mx + b\)

\(7 = m \cdot 4 + b\)

\(b + 4m = 7\)

\(b = 7 - 4m\)