Write the equation of this line in standard form: m=-4/5, b=1/2

8x + 10y = 5

Step-by-step explanation:

given m = - 4/5, b = 1/2, equation is linear (its a straight line)

recall the general equation for a line in slope-intercept form is

y = mx + b

we subsitutue our known values into this to get:

y = (-4/5) x + 1/2

in order to get this in standard form, we have to rearrange this equation to look like Ax + Bx = C

y = (-4/5) x + 1/2 (multiply both sides by 5)

5y = - 4x + (5/2) (multiply both sides by 2)

10y = - 8x + 5 (rearrange)

8x + 10y = 5 (answer)