Answer
$m=\frac{2}{3}$
y-intercept:-5
x-intercept: 7 and 5
Work Step by Step
To find the slope of an equation you need to bring the equation to this form: y=my+b.
$-2x+3y=-15<=>3y=-15+2x<=>y=\frac{2}{3}x-5$
The value that x is multiplied by is the slope.
To calculate the intercepts of equations you need to set the other variable to 0 and calculate the value of the variable from the intercept: to calculate the y-intercept you set x=0 and the ther way around.
$x=0:3y=-15<=>y=-5$
$y=0:-2x=-15<=>x=7,5$