Question 81655
Use the formula for a slope:
Slope=m={{{((y1-y2)/(x1-x2))}}}
Use the formula for a slope:
Slope=m={{{((-5-0)/(-3-3))}}} [plug-in the values (-3,-5) and (3,0)
and solve]
Slope=m={{{((-5)/(-6))}}}
Slope=m={{{((5/6))}}}
.
Next, use the slope-intercept equation of a line: y=mx+b
y=mx+b [plug-in the values and solve for the b-term]
-5=(5/6)(-3)+b
-5=(-5/2)+b
-5+(5/2)=(-5/2)+(5/2)+b
-5/2=b [plug-in (b=-5/2) and the slope (5/6) into y=mx+b
.
y=mx+b
y=5/6x-5/2