Question

write the equation of the line that goes through the point and has the given (4,1); slope=2 Write all final answers in slope-intercept form.

Answer 1

Answer: y = 2x - 7

Explanation:

Slope-intercept form is y=mx+b

• m = slope
• b = y-intercept

Substitute variables with their given values.

y = 2x + b

In order to find the y-intercept, or b, we can plug the point provided, (4,1) , into y = 2x + b and solve for b.

1 = 2(4) + b

1 = 8 + b

-7 = b

Now we can put the y-intercept into the equation, and get y = 2x - 7 .