Question

Pls help I will give you a crown pls 13 points

Answer 1

Option C: $y = \frac{1}{2}x+\frac{5}{2}$ is the right answer

Step-by-step explanation:

Given points are:

(x1,y1) = (-1,2)

(x2,y2) = (3,4)

First of all, the slope has to be found

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}$

The slope-intercept form of line is:

$y = mx+b$

Putting the value of m

$y = \frac{1}{2}x+b$

Putting (3,4) in equation

$4 = \frac{1}{2}(3) +b\\4 = \frac{3}{2} +b\\b = 4 - \frac{3}{2}\\= \frac{8-3}{2}\\=\frac{5}{2}$

Putting the value of b

$y = \frac{1}{2}x+\frac{5}{2}$

Hence,

Option C: $y = \frac{1}{2}x+\frac{5}{2}$ is the right answer

Keywords: Equation of line, slope

Learn more about equation of line at:

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