Question

What is the slope-intercept form of the equation of a line that passes through (1, –6) with a slope of 5?

Question 7 options:

a)

y = 5x + 1


b)

y = 5x – 11


c)

y = 5x + 11


d)

y = 5x – 6

Answer 1

b) y = 5x - 11

Explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the slope m = 5 and the point (1, -6). Put them to te equation:

-6 = 5(1) + b

-6 = 5 + b subtract 5 from both sides

-11 = b

Finally we have the equation of a line:

y = 5x - 11