Question

Find the equation the line with a slope of 2 and that passes

through the point (1, 6).
Enter your answer in slope-intercept form, y = mx + b

Answer 1

y = 2x +4

Explanation:

Equation of a line in slope-intercept form is

y = mx + b

where m is the slope and b is the y-intercept, the point at which the line crosses the y axis (at x = 0)

Given slope is 2 we get the equation as

y = 2x + b

We have to solve for b by plugging in the x and y values for point(1,6)

Thus we get y = 6 = 2(1) + b

Or 6 = 2 + b

b= 6-2 = 4

Equation in slope-intercept form is

y = 2x +4

Answer 2

Hi!

Apply the Point-Slope formula:

• 
  `\textsl{y-y1=m(x-x1)}`

◈Where:

• y₁ -> the y-coordinate of the point
• m -> slope
• x₁ -> x-coordinate

◈We know that:

• y₁ -> 6
• m -> 2
• x₁ -> 1

◈Plug in the values:

• 
  `\boldsymbol{y-6=2(x-1)}`
• (simplify)
  `\boldsymbol{y-6=2x-2}`
• (add 6 to both sides)
  `\boldsymbol{y=2x+4}`

`\bigstar\textsf{\textbf{Solution: \boxed{\textsf{\textbf{2x+4}}}}}`

Have a great day!

I hope this helped!

-stargazing