How do you find the equation of a line given that: slope is 5/6 and the y intercept is (0,-7)?

2 Answers
Jun 7, 2016

#y=5/6x-7#

Explanation:

The equation of a line in #color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b , the y-intercept.

here m#=5/6" and y-intercept"=-7#

#rArry=5/6x-7" is the equation of the line"#

Jun 7, 2016

#y=5/6x-7#

Explanation:

Consider the standard form equation of a straight line

#y=mx+c#

In this #m# is the slope (gradient) and #c# is the y intercept so using the given information we have:

#m=5/6#
#y_("intercept")->(x,y)=(0,-7) -> c = -7#

#color(brown)(y=mx+c" "->" "color(blue)(y=5/6x-7))#