Question #85dee

3 Answers
Jan 22, 2018

The slope is #m=-5# and the #y#-intercept is #(0,7)#.

Explanation:

Given #y=mx+b# the slope of the line is #m# and the #y#-intercept is #(0,b)#.

We have #y+5x=7# which we can rearrange to #y=-5x+7#.

The slope is #m=-5# and the #y#-intercept is #(0,7)#.

Jan 22, 2018

#"slope "=-5," y-intercept "=7#

Explanation:

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

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "y+5x=7" into this form"#

#"subtract 5x from both sides"#

#ycancel(+5x)cancel(-5x)=7-5x#

#rArry=-5x+7larrcolor(blue)"in slope-intercept form"#

#rArr"slope "=-5" and y-intercept "=7#

Jan 22, 2018

so lets compare it to the general equation, #y=mx+c#....

#y+5x=7#
#y=-5x+7#

so then, #m=-5# and #c=7#

p.s. c is the y intercept.:)