Question

What is the equation of the line that passes through the points (2,4) and has a slope of 3

Answer 1

Our answer is: y = 3x - 2

`\Large\textsl{Explanation}`

We are asked to find the equation, given that -

• the line passes through (2,4)
• the line has a slope of 3

Substitute the values -

• y - y1 = m(x - x1) <- the point-slope formula
• y - 4 = 3(x - 2)
• y - 4 = 3x - 6
• y = 3x - 6 + 4
• y = 3x - 2

`\therefore` y = 3x - 2

Answer 2

For this question, I would use the point slope equation. This is y-(y1)=m(x-x1). In this problem, y1 is 4 and x1 is 2. M, or the slope, is 3. When you plug those numbers in, you get y-4=3(x-2). After simplifying, you get y=3x-2. Therefore y=3x-2 is your answer! You can always check by graphing too.