SOLUTION: Determine the standard form of the equation of the line that passes through (0,5) and (4,0) a. -5x + 4y = -20 b. -5x - 4y = 20 c. 5x + 4y = 20 d. 4x - 5y = -20

Algebra ->  Equations -> SOLUTION: Determine the standard form of the equation of the line that passes through (0,5) and (4,0) a. -5x + 4y = -20 b. -5x - 4y = 20 c. 5x + 4y = 20 d. 4x - 5y = -20      Log On


   



Question 991222: Determine the standard form of the equation of the line that passes through (0,5) and (4,0)
a. -5x + 4y = -20
b. -5x - 4y = 20
c. 5x + 4y = 20
d. 4x - 5y = -20

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Imagine those given points and form the slope. The standard form equation Ax+By=C will have a slope -A%2FB. Your slope is -5%2F4. You can look at your choices and eliminate (a), and (d).

Now test (b) and (c) to find which as a vertical axis intercept of 5. Look like (c) is the answer.
-
4y=20-5x
4y=-5x%2B20
y=-%285%2F4%29x%2B5---------the choice transformed to slope-intercept form showing slope is -5%2F4 and y-intercept 5.