Write the point-slope form of the line satisfying the following conditions.?

Question

Then use the point-slope form of the equation to write the slope-intercept form. Passing through (3, 4) and (2, 1).

I am having a hard time, still, doing the equation to find the point slope form. What can I do to make this understanable?

Answer 1

Slope = (4 - 1)/(3 - 2) = 3/1 = 3
The line also passes through points (3,4) and (2,1).
Thus the point slope form is
(A) Either (y - 4) = 3(x - 3)
(B) Or (y - 1) = 3(x - 2)

Look both (A) and (B) gives same answer which is 3x - y = 5.

Answer 2

the slope is 3/1, start at either point go down 4 to the left once and u should be able to hit the other point if u keep doing

Answer 3

a million.a million line Parallel to y = 2x - a million is y = 2x + c because it passes by (a million.3) so 3 = 2 + c or c =a million so equation is y = 2x + a million ans----- answer ---------------------------------------... 2. line perpendicular to 3x - 4y = 8 is 4x + 3y = c [inter replace coefficients of x&y ] because it passes by ( 2,4 ) so 8 +12 = c so c= 20 so equation is 4x+ 3y = 20 slope kind y = - 4x/3 + 20/3 answer ---------------------------------------... line slope o is y = c because it passes by (3.5) so 5 = c so equation is y = 5 answer ---------------------------------------- ---------------------------------------... a vertical line ability y - axis so x = c because it passes interior the path of the factor ( 5, 7) so c-= 5 so equation is x= 5 answer [ slope - intercept kind is y = mx + c ]

Answer 4

(3,4) and (2,1)
m = (1 - 4)/(2 - 3)
m = (-3)/(-1)
m = 3

y - 4 = 3(x - 3)