slope intercept form of the equation of the line through the given point (5,4) with the given slope = 2/5

Question

slope intercept form of the equation of the line through the given point (5,4) with the given slope = 2/5

Answer 1

Slope intercept form means y=mx+b where m stands for the slope, and b stands for the y-intercept.

They gave you the slope = 2/5 so we already know the m, and just need to find the b(y-intercept)

Plug in the m which is (2/5) as well as the (x,y) which is the (5,4) values into your equation (y=mx+b) and solve for b.

4 = (2/5)(5) + b --> (multiply 2/5 and 5)

4 = 2 + b --> subtract 2 from both sides

2 = b

Now that you have your m and b, you can plug these in to get your final answer

y = 2/5 x + 2