Question

PLEASE IM ON A TIME CRUNCH

b. Find both the point-slope form and the slope-intercept form of the line which passes through the
points (-5,7) and (10,4).

c. identify the x- and y- intercepts of the line 1/5x + y= 6, if any exist

Answer 1

Part B:

pt slope is y=mx + b where m is the slope and b is the y intercept

Slope = rise/run = (y2-y1)/(x2-x1)

= (7-4)/(-5 - 10)

= 3/(-15) = -1/5

so the equation is now y = -1/5x + b

Let's find b. Just plug in a pt and solve for b.

y = -1/5x + b

4 = (-1/5)(10) + b

4 = -2 + b

4 + 2 = b

b = 6

so the equation is: y = -1/5x + 6

Part C:

1/5x+y=6

y intercept is 6

x intercept is 30