Answer:
y=x+5
Explanation:
Find the slope of the line between (−2,3)(-2,3) and (2,7)(2,7) using m=y2−y1x2−x1m=y2-y1x2-x1,
which is the change of yy over the change of xx.Tap for more steps...m=1m=1Use the slope 11 and a given point
(−2,3)(-2,3) to substitute for x1x1 and y1y1 in the point-slope form y−y1=m(x−x1)y-y1=m(x-x1), which is derived from the slope equation
m=y2−y1x2−x1m=y2-y1x2-x1.y−(3)=1⋅(x−(−2))y-(3)=1⋅(x-(-2))
Simplify the equation and keep it in point-slope form.
y−3=1⋅(x+2)y-3=1⋅(x+2)Solve for yy.
y=x+5y=x+5List the equation in different forms.
Slope-intercept form:y=x+5y=x+5Point-slope form:y−3=1⋅(x+2)