Answer:
<em>i got u</em>
<em>Answer:
</em>
<em>The slope is </em>
<em>−
2
5
.
</em>
<em>The y-intercept is </em>
<em>1
. </em>
<em>The point is </em>
<em>(
0
,
1
)
.
</em>
<em>The x-intercept is </em>
<em>2
5
. </em>
<em>The point is </em>
<em>(
2
5
,
0
)
.
</em>
<em>
</em>
<em>Explanation:
</em>
<em>y
<
−
2
5
x
+
1
</em>
<em> is in the slope-intercept form of a linear equation, </em>
<em>y
=
m
x
+
b
, where m
</em>
<em> is the slope and b
</em>
<em> is the y-intercept. The y-intercept is the value of y
</em>
<em> when x is 0
.
</em>
<em>Find the </em>
<em>x and y
</em>
<em> intercepts.
</em>
<em>
</em>
<em>The y-intercept is +
1
.
</em>
<em>
</em>
<em>The point for the y-intercept is </em>
<em>(
0
,
1
)
.
</em>
<em>Find the x
</em>
<em> intercept by substituting </em>
<em>0 for y
</em>
<em> and solving for </em>
<em>x
. 0
=
−
2
5
x
+
1 </em>
<em>Subtract 1
</em>
<em> from both sides.
</em>
<em>
−
1
=
−
2
5
x
</em>
<em>
</em>
<em>Multiply both sides by </em>
<em>5
5
×
−
1
=
−
2x
−
5
=
−
2
x
</em>
<em>
</em>
<em>Divide both sides by −
2
. −
5
−
2
=
x5
2
=
x </em>
<em>Switch sides.
</em>
<em>
x
=
5
2
</em>
<em>The x-intercept is </em>
<em>5
2
.
</em>
<em>The point for the x-intercept is </em>
<em>(
5
2
,
0
)
.
</em>
<em>
</em>
<em>Plot the two points on a graph. Draw a straight dashed line through the points to indicate that the line is not part of the inequality. Then shade the area below the line.
</em>
<em>
</em>
<em>graph{y<-2/5x+1 [-10, 10, -5, 5]}</em>
