we have
-5x + 3y = -7.5
step 1
Find the y-intercept (value of y when the value of x is zero)
so
For x=0
-5(0)+3y=-7.5
3y=-7.5
y=-2.5
the y-intercept is (0,-2.5)
step 2
Find the x-intercept (value of x when the value of y is zero)
so
For y=0
-5x+3(0)=-7.5
-5x=-7.5
x=1.5
the x-intercept is (1.5,0)