The slope-intercept form for the equation of the line that has a slope of 3 and passes through (1, 2)is written as?

Question

A. y = 3x –1

B. y = 3x –5

C. y = 5x + 3

D. y = 3x + 5

Answer 1

The general equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since you have m=3, we can plug that in: y=3x+b.

You're also given (1,2) as a point on the line. That's a point where x=1 and y=2, so we can substitute those values in the equation and solve for b:

2=3(1)+b simplifies to 2=3+b.

Subtract 3 from both sides to get -1=b.

Now go back to the original equation with just the slope, and plug b in: y=3x-1.

I hope this helps, and have fun mathing!