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A line passes through the points (2, 2) and (3, 7). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y =
x −

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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