Mathematics: The graph of a line goes through the points (-4,3) and (6,8). What is the equation of the line in slope-intercept form? Enter the correct answer in the box by replacing m and b with the appropriate values. y=mx+b ?

The graph of a line goes through the points (-4,3)

kraigstlistt

31.01.2022

y= ½ x + 5

Step-by-step explanation:

$(-4,3) \: (6,8). \\ x_1 = - 4 \\ y_1 = 3 \\ x_2 = 6$

$y_2 = 8 \\ \frac{y - y_1}{x - x_1} = \frac{y_2 -y_1}{x_2 - x_1}$

$\frac{y - 3}{x - ( - 4)} = \frac{8 - 3}{6 - ( - 4)} = \frac{y - 3}{x + 4} = \frac{5}{10}$

$10(y - 3) = 5(x + 4) \\ 10y - 30 = 5x + 20 \: \\ 10y = 5x + 20 + 30 = 10y = 5x + 50 \\$

$\frac{10y}{10} = \frac{5}{10} x + \frac{50}{10} \\ y = \frac{1}{2} x + 5$

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fufnun3379

19.10.2022

-4

Step-by-step explanation:

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