Question

Find the equation of the line in slope-intercept form.Slope is 2/3 through (3, 4)

Answer 1

Hey there!!

What is slope-intercept form ?

Ans :- y = mx + b

Where 'm' is the slope and 'b' is the y-intercept.

Given :

Slope = 2/3

Coordinate : ( 3 , 4 )

Now, plugging in all these values, we get :

... 4 = ( 2/3 )×3 + b

... 4 = 2 + b

b = 2

Hence, the y -intercept is 2.

Getting this into slope-intercept form :

y = ( 2x/3 ) + 2

Hope my answer helps!!

Answer 2

Remark

You have been told that the slope of the line is 2/3. That means that if the general equation is y = mx + b is the equation for the slope intercept formula and since m = the slope, then m also equals 2/3

y = (2/3)x + b

Use the point to find b

when x = 3

y = 4 This comes from the point

4 = (2/3) * 3 + b multiply 2/3 and 3 together

4 = 6/3 + b Simplify 6/3

4 = 2 + b Subtract 2 from both sides

4 - 2 = b Combine

2 = b

Equation

y = (2/3)x + 2