To find the slope of line g, we first need to understand that parallel lines have the same slope. This is a fundamental concept in geometry.
The slope of a line in a plane is defined by the ratio of the vertical change to the horizontal change between any two distinct points on the line. We call this ratio the gradient or the slope. In a coordinate plane, if the line is expressed as y = mx + b (where 'm' is the slope and 'b' is the y-intercept), 'm' is the slope of the line.
Given that line f is represented by the equation y=(-7/5)x+1/8, its slope is -7/5.
Since line g is parallel to line f, it must have the same slope as line f. Thus, the slope of line g is also -7/5.
Converting this fraction to a decimal, the slope of line g is -1.4.
So, the slope of line g, which is parallel to line f, is -1.4.