Consider the line with #x#-intercept of 2 and #y#-intercept of -2. What is the equation of this line in standard form?
2 Answers
Explanation:
An x-intercept of two means we have the point
A y-intercept of negative two means we have the point
Recall the formula of the slope of a line:
Since we have two points, we can calculate the slope using (
The point-slope form of a line is:
Where
We already have m; we can use either of our points for
Explanation:
#"the equation of a line in "color(blue)"standard form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#
#"where A is a positive integer and B, C are integers"#
#"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"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(2,0)" and "(x_2,y_2)=(0,-2)#
#rArrm=(-2-0)/(0-2)=1#
#rArry=x+blarrcolor(blue)"is the partial equation"#
#"y-intercept "=(0,-2)rArrb=-2#
#rArry=x-2larrcolor(red)"in slope-intercept form"#
#rArrx-y=2larrcolor(red)"in standard form"#