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Sagot :
Answer:
Answer: y = 5x - 8
Step-by-step explanation:
• General equation of a line:
[tex]{ \boxed{ \rm{y = mx + c}}}[/tex]
- m is the slope
- c is the y-intercept
[tex]{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} }} \\ \\ { \rm{m = \frac{7 - 2}{3 - 2} = \frac{5}{1} }} \\ \\ { \rm{m = 5}}[/tex]
• Considering point (2, 2), substitute in the equation.
[tex]{ \rm{y = mx + b}} \\ \\ { \rm{2 = (5 \times 2) + c}} \\ \\ { \rm{2 = 10 + c}} \\ \\ { \rm{c = {}^{ - } 8}}[/tex]
• Therefore, equation of a line is;
[tex]{ \boxed{ \rm{y = 5x - 8}}}[/tex]
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