Answer:
y=2/5x + 7
Step-by-step explanation:
First, you have to rewrite 2x-5y=15 to slop intercept form.
To do that you have to first subtract 2x from both side to cancel it out.
2x- 2x-5y= 15 -2x.
-5y= -2x+15
Next, you divide 5 on both side to leave the y by itself.
y= -2x/-5 + 15/-5
Simplify
y= 2/5x + (-3) 2/5 is our slope
Now that we found the slope, we need to the y-intercept of line b
y=2/5x + b
To find the y-intercept, we substitue x and y with the coordinates (-10,3)
3= 2/5(-10) +b
Now we just solve for b
3= -4 +b
3-(-4) = b
7=b
Now we have identified that 7 is the y intercept
The full equation is y= 2/5x +7
I hope this helped :)
