Question

What is the slope intercept form of the line passing through `(-10,0)` with a slope of `-7/2`?

Answer 1

`color(crimson)(y = -(7/2)x - 35 " is the slope - intercept form"`

Explanation:

`"Slope - intercept form of a linear equation is " y = mx + c`

`"where " m " is the slope and " c " is the y-intercept"`

`"Given " m = -7/2, (x_1, y_1) = (-10, 0)`

Point- slope form of an equation is `(y- y_1) = m (x - x_1)`

`:. (y - 0) = -(7/2) * (x - (- 10))`

`"Slope " = m = -7/2, "y-intercept " = c = -35`

`color(crimson)(y = -(7/2)x - 35 " is the slope - intercept form"`

graph{-(7/2)x - 35 [-10, 10, -5, 5]}