How do you write an equation in slope intercept form given that the line passes through the point J(4, 1) with slope –4?

2 Answers
May 10, 2018

Answer:

#y=-4x+17#

Explanation:

Given;
The line passes through the point J-=(4,1)
#m=-4#
intercept is given by
#c=b-ma#
where the line passes through (a,b)
a=4,b=1
#c=1-(-4)xx4#
#c=1+16#
#c=17#

Thus,
y=mx+c

#y=-4x+17#

May 10, 2018

Answer:

#y=-4x+17#

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"#

#"here "m=-4#

#rArry=-4x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(4,1)" into the partial equation"#

#1=-16+brArrb=1+16=17#

#rArry=-4x+17larrcolor(red)"in slope-intercept form"#