Slope-Intercept form is the equation of a line where it is solved for y. So, to put this into Slope-Intercept form you need to solve it for y.
7x + 10y = 4 Subtract 7x from both sides
10y = -7x + 4 Divide both sides by 10
y = -\(\frac{7}{10}\)x + \(\frac{4}{10}\) Simplify if you can
y = -\(\frac{7}{10}x\) + \(\frac{2}{5}\)