Question

Write the equation of a line in point-slope form that passes through the points 1, -7 6, -4

Answer 1

Answer:

$y = \frac{3}{5} x - \frac{38}{5}$

Step-by-step explanation:

$y = mx + b$

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{ - 4 - - 7}{6 - 1}$

$m = \frac{3}{5}$

substitute any coordinate pair into y= mx + b

I chose (1,-7)

$- 7 = \frac{3}{5} \: (1)+ b$

$b = - 7 - \frac{3}{5}$

$b = - \frac{38}{5}$

$y = \frac{3}{5} x - \frac{38}{5}$