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

1 Answer
Jun 19, 2018

#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]}