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Answer 1 · 2017-04-02T04:23:49

$\frac{3}{4}$ $3/4$

To find the slope we must solve the equation for $y$ $y$

We add $3 x$ $3x$ to both sides:

$cancel(-3x+3x)+4y=10+3x -> 4y=3x+10$

Divide $4$ on both sides:

$cancel(4/4)y=(3x+10)/4$

$y=color(green)(3/4)x+5/2$

Since the equation of a line is $y=mx+b$ where $m$ is the slope, the slope in this example is $3/4$

Answer 2 · 2017-04-02T04:30:35

$3/4$

We first solve the equation for $y$ :

$4y=3x+10$ (add $3x$ to both sides)
$y=(3x+10)/4$ (divide both sides by $4$ )
$y=3/4x+5/2$ (since $(a+b)/c=a/c+b/c$ )

Now, for a linear equation, the slope is the number coefficient of $x$ , which in this case is $3/4$ .