Question

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)

Answer 1

y = 3/8x - 7/2

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
`\boxed{y = (3)/(8)x - (7)/(2).}`