Question

A line passes through the point (2, 10) and has a y-intercept of 4. What is theequation of the line?ExhibitsEnter your equation in the space provided. Enter only your equation.

Answer 1

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting with the point (2, 10), that is, x = 2 and y = 10; and with b = 4, we get:

`\begin{gathered} 10=m\cdot2+4 \\ 10-4=m\cdot2 \\ (6)/(2)=m \\ 3=m \end{gathered}`

Finally, the equation of the line is:

y = 3x + 4