Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 )

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

where two points that fall on the line are and

Plug in the given points (2,-5) and (8,-2)

Therefore, the slope of the line is . Plug this into :

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b

Subtract 1 from both sides to isolate b

Therefore, the y-intercept of the line is -6. Plug this back into :

I hope this helps!

hreryryrranswer:

step-by-step explanation: