Determine an equation of the line that satisfies the condition "through (12,10); slope 1".
(a) Write the equation in standard form.
Use the Point Slope Form of the equation of a line with (x1,y1)=(12,10) and m=1
y−y1=m(x−x1)Point Slope Formy−10=1(x−12)Substitute x=12,y=10 and m=1y−10=x−12Distributive Property−x+y=−12+10Subtract each side by (x−10)−x+y=−2Standard Formorx−y=2
(b) Write the equation in slope-intercept form.
−x+y=−2Standard Formy=x−2Slope Intercept Form
No comments:
Post a Comment