SOLUTION: Write an equation in slope-intercept form of the line through points S(–5, –7) and T(10, 4).

Algebra ->  Linear-equations -> SOLUTION: Write an equation in slope-intercept form of the line through points S(–5, –7) and T(10, 4).      Log On


   

Question 420181: Write an equation in slope-intercept form of the line through points S(–5, –7) and T(10, 4).
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
S(–5, –7) and T(10, 4).
slope m =(y2-y1)/(x2-x1)
m= 0.73

Plug value of the slope & point(-5,-7)in
Y = m x + b
-7.00 = -3.67 + b
b= -7 +3.67
b= -3.33
So the equation will be
Y = 0.73 x -3.33

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(-5,-7), (10,4)
The formula is:
+%28y+-+%28-7%29%29+%2F+%28x+-+%28-5%29%29+=+%284+-+%28-7%29%29+%2F+%2810+-+%28-5%29%29+
+%28y+%2B+7%29+%2F+%28x+%2B+5%29+=+%284+%2B+7%29+%2F+%2810+%2B+5%29+
+%28y+%2B+7%29+%2F+%28x++%2B+5%29+=+11%2F15+
15%2A%28y+%2B+7%29+=+11%2A%28x+%2B+5%29+
15y+%2B+105+=+11x+%2B+55+
+15y+=+11x+-+50+
+y+=+%2811%2F15%29%2Ax+-+10%2F3+
check:
(-5,-7)
-7+=+%2811%2F15%29%2A%28-5%29+-+10%2F3+
-7+=+-+11%2F3+-+10%2F3+
-21+=+-21
OK
You can check the other point