Answer
The given equation has a slope of $15.6$ and a y-intercept of $292$.
Work Step by Step
RECALL:
The slope-intercept form of a linear equation is y=mx+b where m=slope and b=y-intercept.
$\\\\$Write the given equation in slope-intercept form (by isolating the variable y) to have:
$\\\\78x-5y=-1460
\\\\-5y=-78x-1460
\\\\\dfrac{-5y}{]-5}=\dfrac{-78x-1460}{-5}
\\\\y=15.6x+292$
$\\\\$This equation has a slope of 15.6 and a y-intercept of 292.