Which graph represents -5y=-6x+15

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( ) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula to find the point-slope equation of the line. Substitute , , and for real values.

Since represents the slope, substitute 3 in its place. Since and represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

2) Now, isolate y in the above equation to find its slope-intercept form.

Thus, the answer would be the third option as it matches the result we received.