Question

Find the equation of the line that goes through the points (4, –1) and (2, –5).

Answer 1

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

$\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }$

Slope

$= \frac{ - 1 - ( - 5)}{4 - 2}$

$= \frac{ - 1 + 5}{2}$

$= \frac{4}{2}$

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

Answer 2

Answer:

m= 2

b= -9

y=2x-9

Step-by-step explanation:

edg 2021