Question

If a line with a slope of 4 crosses the y-axis at (0, 1), what is the equation of the line?

Answer 1

y=mx+b
where m is slope
and (0,b) is the y-intercept

Answer 2

you are given both m and b

Answer 3

just plug them into y=mx+b

Answer 4

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ 0}}\quad ,&{\color{blue}{ 1}})\quad

\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= 4
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 5

y=4x+1