Write the equation of the line that passes through the point $\left(0,\frac{8}{7}\right)$ and has slope $m=\frac{3}{2}$ . Write the equation in slope-intercept form.

A) $y=\frac{3}{2}x-\frac{8}{7}$
B) $y=\frac{8}{7}x+\frac{3}{2}$
C) $y=\frac{8}{7}x-\frac{3}{2}$
D) $y=\frac{3}{2}x+\frac{8}{7}$
E) $y=16x+21$

Slope-intercept Form

A way of writing linear equations using the formula \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y-intercept.

Slope

The calculation of how steep or inclined a line is, determined by the ratio of its vertical shift to its horizontal shift between any two points on the line.