Question

A line's slope is -5. The line passes through the point (5, 30). Find an equation for this line in both point-slope and slope-intercept form A) An equation for this line in point-slope form is:B) An equation for this line in slope-intercept form is.

Answer 1

y - 30 = 5(x - 5) (point slope form)

slope intercept form is y = 5x+5

Step-by-step explanation:

Given the following

Slope m = -5

Point = (5, 30)

x0 = 5 and y= = 30

The equation of the line in point slope form is expressed as y-y0 = m(x-x0)

Substitute

y - 30 = -5(x - 5) (point slope form)

Express in slope intercept form (y = mx+c)

y - 30 = -5x + 25

y = -5x + 25 + 30

y = -5x + 55

Hence the equation of the line in slope intercept form is y = -5x+55