Question

Write the slope intercept form of the line passing through (-1,5) with y-intercept -4.

Answer 1

Answer:

y = -x + 4

Step-by-step explanation:

Slope-intercept form of a line is the equation:  y = mx + b

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

Step 1:  Find the slope

Label the points that are given.  

(-1,5) = (x1, y1)

(0, 4) = (x2, y2)      (this is what they told us the y-intercept is)

The formula for slope is:   m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (4 - 5)/(0 - (-1))  

m = -1/1 = -1

We now have m and b, so our equation is:  y = -x + 4