Question

Write an equation in slope intercept form of the line the passes through the given points.

(5,4)(15,2)

Answer 1

y = -1/5x + 5

Explanation:

Since this is written in slope-intercept form, you need to follow this form:

y = mx + b

(where m is the slope and b is the y-intercept)

To find the slope, you need to do (rise/run) or (change in y/change in x) with (5, 4) and (15, 2):

(4 - 2) / (5 - 15)

= 2 / -10

= -1/5

so m = -1/5

To find the y-intercept, you just need to plug one of the points into the equation with the slope:

y = -1/5x + b

= 4 = -1/5(5) + b

= 4 = -1 + b

= b = 5

so b = 5

Now, you put it all together:

y = -1/5x + 5