The slope-intercept form of the equation of a line with slope m and y-intercept b is:
[tex]y=mx+b[/tex]In this case, the y-intercept is -7 and the slope is 3/4. Then:
[tex]y=\frac{3}{4}x-7[/tex]If a line has slope m and passes through the point (a,b), the point-slope form of the equation is given by:
[tex]y=m(x-a)+b[/tex]Since the y-intercept of the given equation is -7, then the line goes through the point (0,-7) Then, it can be written in slope-point form as:
[tex]y=\frac{3}{4}(x-0)-7[/tex]