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Mathematics
08.07.2020 19:47
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Determine the slope-intercept equation of a line with a slope of 3/2 that passes

Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).
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kajjumiaialome
kajjumiaialome
4,9(75 marks)

\orange{ \bold{y = \frac{3}{2}x -4 }}

Step-by-step explanation:

Slope of line (m) = \frac{3}{2}

Line passes through the points (2,\:-1)=(x_1, \:y_1)

Equation of line in point slope form is given as:

y-y_1 =m(x-x_1)

Plug the values of m, x_1\: \&\: y_1 in the above equation, we find:

y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}\\ \\

This is the required equation of line in slope-intercept form.

bayleeharris8p78txa
bayleeharris8p78txa
4,4(21 marks)

hello hello hello sorru aorry sorru

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