Question

Write the equation of the line in slope-intercept form:
m=7/4, (0,3/8)

Answer 1

y=mx+b
m=slope
b=y-intercept
(x,y)
if x is 0 then the y value is 3/8 thefore b=3/8

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ 0}}\quad ,&{\color{blue}{ \frac{3}{8}}})\quad
% (c,d)
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{7}{4}
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 3

@jdoe0001 they don't need point slope form.