Question

1. circle the points that are on the graph of ( y = 4x + 60 ). draw a line through the points that are not graph. be ready to show/explain how you know whether or not each point is on the graph.

a. ( (0,60) ) b. ( (0,4) ) c. ( (4,0) ) d. ( (60,0) ) e. ( left(\frac{1}{2},62
ight) ) f. ( left(\frac{5}{4},65
ight) )

Explanation:

Step1: Substitute \(x = 0\) into \(y = 4x+60\)

For point \((0,60)\), when \(x = 0\), \(y=4\times0 + 60=60\).

Step2: Substitute \(x = 0\) into \(y = 4x+60\)

For point \((0,4)\), when \(x = 0\), \(y = 4\times0+60 = 60
eq4\).

Step3: Substitute \(x = 4\) into \(y = 4x+60\)

For point \((4,0)\), when \(x = 4\), \(y=4\times4 + 60=16 + 60=76
eq0\).

Step4: Substitute \(x = 60\) into \(y = 4x+60\)

For point \((60,0)\), when \(x = 60\), \(y=4\times60+60=240 + 60=300
eq0\).

Step5: Substitute \(x=\frac{1}{2}\) into \(y = 4x+60\)

For point \((\frac{1}{2},62)\), when \(x=\frac{1}{2}\), \(y=4\times\frac{1}{2}+60=2 + 60=62\).

Step6: Substitute \(x=\frac{5}{4}\) into \(y = 4x+60\)

For point \((\frac{5}{4},65)\), when \(x=\frac{5}{4}\), \(y=4\times\frac{5}{4}+60=5 + 60=65\).

Answer:

Circle the points \(a\), \(e\), \(f\). Draw a line through \(b\), \(c\), \(d\).