Question

Write an equation for the line described in standard form.

33. through (-1, 7) and (8, -2)
35. with x-intercept 4 and y-intercept 5
34. through (-4, 3) with y-intercept 0

Answer 1

Explanation:

33. if A(-1;7) and B(8;-2), then

`(x-X_A)/(X_B-X_A) =(y-Y_A)/(Y_B-Y_A); \ = > \\(x+1)/(8+1) =(y-7)/(-2-7);\\\\(x+1)/(9)=(y-7)/(-9); \ < = > \ x+y-6=0.`

34. if points of interception are: (4;0) and (0;5), then:

`(x)/(4) +(y)/(5) =1;\\5x+4y-20=0.`

35. not enough data.