The equation in slope-intercept form is
[tex]y=mx+b[/tex]
Where
m is the slope
b is the y-intercept
The slope of an equation is the coefficient that multiplies "x", and the y-intercept of the equation is the number that is "alone" (i.e. is not related to any variable)
1) The equation must have "slope = 5", this means that the value multiplying "x" is five:
[tex]y=5x+b[/tex]
The equation that includes this term is the first one
[tex]y=5x-\frac{9}{5}[/tex]
2) The equation must have "y-intercept = -8/5", this means that the value that is alone is minus eight fifths:
[tex]y=mx-\frac{8}{5}[/tex]
The equation that includes this term is the second one
[tex]y=6x-\frac{8}{5}[/tex]
3) The equation must have "slope = -9/5", this means that the value multiplying "x" is minus nine fifths:
[tex]y=-\frac{9}{5}x+b[/tex]
The equation that includes this term is the fourth one
[tex]y=-\frac{9}{5}x+5[/tex]
4) The equation must have "y-intercept =6", the constant of the equation must be six:
[tex]y=mx+6[/tex]
The equation that includes this term is the third one
[tex]y=-\frac{8}{5}x+6[/tex]