Hello there. To solve this question, we want to write the line equation that is in standard form into the slope intercept form.
First, remember the slope intercept form of a line is: y = mx + b, where m is the slope and b is the y-intercept.
Given 10x - 7y = -8, to find this equation into slope intercept form, we'll have to isolate y:
Subtract 10x from both sides of the equation
-7y = -8 - 10x
Divide both sides by a factor of (-7)
y = (-8 - 10x)/(-7) = 10x/7 + 8/7
This is the slope-intercept form of this line.
