To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.
9x + 35 = -5y
First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.
5y + 9x + 35 = 0
Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.
5y + 35 = -9x
After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.
5y = -9x - 35
Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.
y = -9/5x - 7
Therefore, your answer y = -9/5x -7.
Hope this helps!