a line has a slope of -5 and a y - intercept of \\( \\frac { 4 } { 7 } \\). write its equation in slope…

a line has a slope of -5 and a y - intercept of \\( \\frac { 4 } { 7 } \\). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer
Answer:
$y = -5x+\frac{4}{7}$
Explanation:
Step1: Recall the 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 the given values
Given $m=-5$ and $b = \frac{4}{7}$, substitute these into the formula. So, $y=-5x+\frac{4}{7}$.