Answer:
4x+2y = 14 The original equation
2y = 14-4x Subtract 4x from both sides
2y = -4x+14 Rearrange so x is first
y = -2x+7 Divide everything by 2
Step-by-step explanation:
The steps above practically explain everything needed, so there's not much to add. The standard form is Ax+By = C while slope intercept form is y = mx+b
In the case of y = -2x+7, we have a slope of m = -2 and y intercept of b = 7. This means (0,7) is one point on the line. Use the slope to move down two and to the right one unit to arrive at (1, 5) as another point on this line.