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प्रश्न
Complete the following table for the line 5y = 3x + 7 and plot it on the graph.
| x | 1 | −9 | −4 | ||
| y | 8 | 5 |
आलेख
बेरीज
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उत्तर
5y = 3x + 7
Convert to slope-intercept form
5y = 3x + 7
y = `(3x + 7)/5`
For x = 1
y = `(3(1) + 7)/5`
y = `(3 + 7)/5`
y = `10/5`
y = 2
For x = −9
y = `(3(−9) + 7)/5`
y = `(−27 + 7)/5`
y = `−20/5`
y = −4
For x = −4
y = `(3(−4) + 7)/5`
y = `(−12 + 7)/5`
y = `(−5)/5`
y = −1
y = 8
x = `(5y − 7)/3`
x = `(5(8) − 7)/3`
x = `(40 − 7)/3`
x = `33/3`
x = 11
For y = 5
x = `(5(5) − 7)/3`
= `(25 − 7)/3`
= `18/3`
= 6
| x | 1 | −9 | −4 | 11 | 6 |
| y | 2 | −4 | −1 | 8 | 5 |
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