Question 1167851
the slope intercept form of the equation of a straight line is:


y = mx + b


m is the slope
b is the y-intercept.


if your know the slope, then just replace m with it and solve for b by replacing x and y in the equation with the value of one of the points.


in your problem, m = 3/4 and the point that it goes through is (x,y) = (5,-4)


replace m with 3/4 and replace x with 5 and y with -4 to get:


y = mx + b becomes -4 = 3/4 * 5 + b


simplify to get:


-4 = 3.75 + b


subtract 3.75 from both sides of the equation to get:


-4 - 3.75 = b


solve for b to get:


b = -7.75


the equation becomes:


y = 3/4 * x - 7.7 5


the graph of the equation looks like this.


<img src = "http://theo.x10hosting.com/2020/102102.jpg" >


you can see that the y-intercept (the value of y when x = 0) is -7.75 and that the graph of the equation goes through the point (x,y) = (5,-4).