Question

a line has a slope of \\(\frac{5}{7}\\) and a y-intercept of \\(\frac{3}{7}\\). write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by the formula $y = mx + b$, where $m$ is the slope of the line and $b$ is the y - intercept.

Step2: Substitute the given values

We are given that the slope $m=\frac{5}{7}$ and the y - intercept $b = \frac{3}{7}$. Substituting these values into the slope - intercept form formula $y=mx + b$, we get $y=\frac{5}{7}x+\frac{3}{7}$.

Answer:

$y=\frac{5}{7}x+\frac{3}{7}$