a line has a slope of $\frac{2}{7}$ and a y - intercept of - 6. write its equation in slope - intercept…

a line has a slope of $\frac{2}{7}$ and a y - intercept of - 6. write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line has a slope of $\frac{2}{7}$ and a y - intercept of - 6. write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute given values

Given $m=\frac{2}{7}$ and $b = - 6$, we substitute into the formula: $y=\frac{2}{7}x+( - 6)$.

Step3: Simplify the equation

$y=\frac{2}{7}x - 6$.

Answer:

$y=\frac{2}{7}x - 6$