What is the equation of a line that has an x-intercept of -2 and a y-intercept of -5?
2 Answers
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 "b=-5#
#y=mx-5larrcolor(blue)"is the partial equation"#
#"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,-5)#
#m=(-5-0)/(0-(-2))=(-5)/2=-5/2#
#y=-5/2x-5larrcolor(red)" is the equation of the line"#
Explanation:
You have 2 points on the line:
Use slope point formula
First you determine the slope:
Now use the Point Slope form of a line:
graph{y=-5/2x - 5 [-10, 10, -5, 5]}