Find an equation of the line that has slope m and y-intercept b. (Let x be the independent variable and y be the dependent variable.)

m = − 3/2
; b = 3/4

the slope-yintercept form is

y = mx +b

so why not plug in your given data ?

y = m x + b

y = -(3/2) x +3/4

or

4 y = -6 x + 3

To find an equation of the line with a given slope and y-intercept, you can use the slope-intercept form of a linear equation, which is y = mx + b. Here, m represents the slope and b represents the y-intercept.

Given that m = -3/2 and b = 3/4, we can substitute these values into the slope-intercept form to find the equation:

y = (-3/2)x + 3/4

So, the equation of the line with a slope of -3/2 and a y-intercept of 3/4 is y = (-3/2)x + 3/4.