Question

Write the equation of the line that passes through the points (7, –9)
and (1,-4). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answer 1

Answer:

y=$\frac{-5}{6}$x+14$\frac{5}{6}$

Step-by-step explanation:

The equation of a line is y=mx+b

to find the equation of the line you need its gradient(m) and its y intercept(b)

the gradient is

$\frac{y1-y2}{x1-x2}$  

y1= the y value of the first point which is -9

y2=the y value of the second point which is -4

x1=the x value of the first point which is 7

x2=the x value of the first point which is 1

then input the values into the equation

$\frac{(-9)-(-4)}{(7)-(1)}$

=$\frac{-9+4}{6}$

=$\frac{-5}{6}$

to find the y just times the x by the gradient and then minus it from the y

-9-(7 x $\frac{-5}{6}$)=14$\frac{5}{6}$

making the equation y=$\frac{-5}{6}$x+14$\frac{5}{6}$