Answer: C is the correct option
Explanation:
The given graphs are straight line graphs.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The given equation is
- 5y = - 6x + 15
Rearranging the equation so that it will look like y = mx + c, it becomes
y = 6x/5 -3
The slope, m = 6/5
Looking at the graphs, the slope of graph c is 6/5. This is determined by picking corresponding points
(y2 - y1)/(x2-x1) = (3 - - 3)/(5 - 0) = 6/5