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

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

d

step-by-step explanation: