Question

A line has a slope of 6 and passes through the point (2,7). Write its equation in slope-intercept form.

Answer 1

Hi there!

We are asked to write the line's equation in point-slope form. Point-slope looks like this:

• 
  `\bold{y-y_1=m(x-x_1)}`

Substitute the values:

• 
  `\bold{y-7=6(x-2)}`

Simplify

• 
  `\bold{y-7=6x-12}`

Add 7 to both sides:

• 
  `\bold{y=6x-12+7}`
• 
  `\bold{y=6x-5}`

Therefore, y = 6x - 5.

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Best wishes!