Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.

Step-by-step explanation:

Hi there!

Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

where two given points are and

Plug in the given points (-1, 2) and (6, 3):

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:

Add to both sides to isolate b:

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

I hope this helps!

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: