What is an equation of the line that passes through the points (3,1) and (4,4)?

y=3x-8

Step-by-step explanation:

find the slope by using the slope formula: y2-y1/x2-x1 so 4-1/4-3 solve 3/1 so the slope is 3. standard lines are y = mx+b plug it in with one of the points: 4= 4(3) + b the m is the slope and I plugged the x and y points 4 into it. 4=12+b subtract 12, b=-8 that is the y intercept.

check 1=3(3) + b, 1= 9 + b, -8= b:

so the y intercept is -8 the slope is 3 now we replace it to get a linear equation;

y=3x-8

2.83941151 would be the answer you're looking for! : )