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Write an equation of the line that passes through the points. Use the slope-intercept form (if possible). If not possible, explain why and use the general form. Use a graphing utility to graph the line (if possible).

Write an equation of the line that passes through the points Use the slopeintercept form if possible If not possible explain why and use the general form Use a class=

Respuesta :

Answer:

y = 7/8x -1/2

y = mx+b

m = slope

Slope = 7/8

Step-by-step explanation:

[tex](4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}[/tex]