Write an equation in slope-intercept form for the line that has a slope of 3 and passes through (-1, 2)

Answer 1

Slope-intercept form: y = mx + b

m = slope, which is equal to 3 because the problem says so

b = y-intercept of the line

So fill in the equation based on what we know:

y = 3x + b

Now, using the coordinate (-1,2) provided to use, we need to find "b" (aka our y intercept):

2 = 3 (-1) + b

Then, we isolate for b:

2 = -3 + b

+3 = +3

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b = 5

So now we have all the information to form our slope-intercept form equation:

b = 5

m = 3

therefore, equation is y = 3x + 5

Answer 2

Slope intercept equation is

Y = mX +b

m = 3

Passing through (-1, 2)

X= -1 and Y = 2

Plug in above equation

2 = 3(-1 ) + b

2 = -3 +b

b= 5

Equation of line is

Y = 3X +5