Consider the line with xx-intercept of 2 and yy-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"the equation of a line in 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"