-3
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept. Â
The slope-intercept form is  y
=
m
x
+
b
, where  m  is the slope and  b  is the y intercept.
y
=
m
x
+
b
Find the values of  m  and  b  using the form  y
=
m
x
+
b
.
m
=−
5
3
b
=
2
The slope of the line is the value of  m
, and the y-intercept is the value of  b
.
Slope: Â
−
5
3
y-intercept: Â 2
Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.
Choose  0  to substitute in for  x  to find the ordered pair.
Replace the variable  x  with  0  in the expression.
f
(
0
)
=
−
5
(
0
)
3
+
2
Simplify the result.
Simplify each term.
Cancel the common factor of  0  and  3
.
Factor  3  out of  5
(
0
)
.
f
(
0
)
=
−
3
(
5
â‹…
(
0
)
)
3
+
2
Cancel the common factors.
Factor  3  out of  3
.
f
(
0
)
=
−
3
(
5
â‹…
(
0
)
)
3
(
1
)
+
2
Cancel the common factor.
f
(
0
)
=
−
3
(
5
â‹…
(
0
)
)
3
â‹…
1
+
2
Rewrite the expression.
f
(
0
)
=
−
5
â‹…
(
0
)
1
+
2
Divide  5
â‹…
(
0
)  by  1
.
f
(
0
)
=
−
(
5
â‹…
(
0
)
)
+
2
Multiply  5  by  0
.
f
(
0
)
=
−
0
+
2
Multiply  −
1  by  0
.
f
(
0
)
=
0
+
2
Add  0  and  2
.
f
(
0
)
=
2
The final answer is  2
.
2
The  y  value at  x
=
0  is  2
.
y
=
2
Choose  3  to substitute in for  x  to find the ordered pair. Â
Replace the variable  x  with  3  in the expression.
f
(
3
)
=
−
5
(
3
)
3
+
2
Simplify the result.
Simplify each term.
Cancel the common factor of  3
.
Cancel the common factor.
f
(
3
)
=
−
5
â‹…
3
3
+
2
Divide  5  by  1
.
f
(
3
)
=
−
1
â‹…
5
+
2
Multiply  −
1  by  5
.
f
(
3
) = -5 +2
Add  −
5  and  2
.
f
(
3
)
=
−
3
The final answer is  −
3
.
−
3
The  y  value at  x
=
3  is  −
3
.
y
=
−
3
Create a table of the  x  and  y  values.
x- Â
0, Â 3
y- 2, -3
Graph the line using the slope and the y-intercept, or the points.
Slope:  −
5
/3
y-intercept: Â 2
x- 0, 3
y- 2, -3