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the point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). what is the slope-intercept form of the equation for this line? y = 1/2 x 2 y =1/2 x – 4 y =1/2 x 5/2 y =1/2 x – 7/2

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nobillionaireNobley
slope-intercept form of equation of a line is given by y = mx + c

y - 3 = 1/2 (x - 1) = 1/2x - 1/2
y = 1/2x - 1/2 + 3 = 1/2x + 5/2
Required equation is y = 1/2x + 5/2

shubhamchouhanvrVT

The correct answer is option C which is the equation of the line will be y = 1/2x + 5/2

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

  • The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1).

The slope-intercept form of the equation of a line is given by y = mx + c

y - 3 = 1/2 (x - 1) = 1/2x - 1/2

y = 1/2x - 1/2 + 3 = 1/2x + 5/2

Therefore the correct answer is option C which is the equation of the line will be y = 1/2x + 5/2

To know more about equations follow

https://brainly.com/question/2972832

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