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Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.

m = 3/8, (−4, −5)


Sagot :

Answer:

y = 3/8x - 7/2

Step-by-step explanation:

The slope intercept form of a line is y = mx + b. We are already given m, which is 3/8, and x and y- the coordinates (-4, -5). Substitute them in the equation:

-5 = 3/8(-4) + b

-5 = -3/2 + b

b = -5 + 3/2

b = -7/2.

So the equation is [tex]\boxed{y = \frac{3}{8}x - \frac{7}{2}.}[/tex]