Get y by itself in standard form y = mx + b where m = slope and b = y intercept
2x + 4y - 10 = 0
4y = -2x +10
y = -2/4 x + 10/4
y = -1/2 x + 2.5
slope = - 1/2
Yes, 3x+4y=10 is a linear equation, because you can move the x over to the other side, and divide by 4 to get y=-3/4x+5/2. Generally, any equation in the form ax+by=c is a linear equation.
I assume that is 2x - 4y = 10 The x-intercept is when y = 0: 2x - 4 x 0 = 10 → 2x = 10 → x = 5.