Question

1/5 1) Find the equation of the line passing through the points (-1,-5) and (2,-2). Write the equation in slope - intercept form. oy = x - 2 Oy = -2 y = -2 oy=r - 4 Next Submit Search o 99+

Answer 1

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing with the points (-1,-5) and (2,-2),

`m=(-2-(-5))/(2-(-1))=(3)/(3)=1`

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept of the line.

Replacing with point (-1, -5) and m = 1,

-5 = 1(-1) + b

-5 = -1 + b

-5 + 1 = b

-4 = b

The equation is:

y = x - 4