Answer:
y = x + 2
Explanation:
The slope-intercept equation is:
y = mx + b
First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:
Point 1: (1,3) Point 2: (2,4)
y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula
(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points
-1 = -m <--- Simplify inside parentheses
1 = m <--- Divide both sides by -1
Finally, use one of the points to solve for the y-intercept (b):
Point 1: (1,3) m = 1
y = mx + b <--- Slope-intercept formula
3 = 1(1) + b <--- Plug in values from point and slope (m)
3 = 1 + b <--- Multiply slope and "x" value
2 = b <--- Subtract 1 from both sides
Since the slope = 1, it does not need to be included in the final formula. The final answer is:
y = x + 2