Answer:
2x +3y = 15 or y = -2/3x +5
Explanation:
You want the equation of the line with y-intercept 5 and x-intercept 7.5.
Equation
The intercept form equation can be written ...
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
The given intercepts of a=7.5 and b=5 mean we can write the equation as ...
x/7.5 +y/5 = 1
Multiplying by 15 gives the standard-form equation ...
2x +3y = 15
Solving for y gives the slope-intercept equation ...
y = -2/3x +5