Question 204612
You can quickly reconise the slope of a linear equation, such as you have here, by first getting your equation into the "slope-intercept" form:
{{{highlight_green(y = mx+b)}}} where: m = the slope and b = the y-intercept.
Starting with the given equation:
{{{2y-3x+10 = 1}}} First add 3x to both sides of the equation.
{{{2y+10 = 3x+1}}} Now subtract 10 from both sides.
{{{2y = 3x-9}}} Finally, divide both sides by 2.
{{{y = (3/2)x-9/2}}} Now compare this with the "slope-intercept" form:
{{{y = mx+b}}} and you can see that the slope,{{{highlight_green(m = 3/2)}}}