Question

A line includes the points (1, 10) and (0,4). What is its equation in slope-intercept form

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 6x + 4

Explanation:

Slope intercept form - y = mx + b

Solve for m value, or the slope:

`(y_(2)-y_(1) )/(x_(2)-x_(1) ) = m`

`(10-4)/(1-0) = 6`

m = 6

Slope is 6, now let's put it back in the equation:

y = 6x + b, and we know the b value is the y-intercept, which is the point when x = 0, which is 4 in this case. Put that in the equation, now we have the answer:

y = 6x + 4