Answer: y = 1/4x + 3.25
Explanation:
1. Find the slope first using y2 - y1/ x2 - x1. This should look like 4 -2/ 3 - (-5), which can also be written as 4 - 2/ 3 + 5.
2. Simplify the fraction. This should look like 2/8, which can also be written as 1/4 once you divide it by 2.
3. Use the point-slope formula to find the y-intercept of the equation now. The formula is y2 - y1 = m (x2 - x1). Input either (-5, 2) or (3,4) into the equation. I'll use (3,4) as an example. After inputting that point, the equation would be y - 4 = 1/4 (x - 3).
4. Simplify this equation by distributing the 1/4 into the parentheses first. Once done, the equation will be y - 4 = 1/4x - 0.75.
5. Add 4 on both sides of the equation to get y by itself. After that the equation will be y = 1/4x + 3.25.