Answer: y = x + 5
Step-by-step explanation:First, we need to determine the slope of the line. The slope can be found by using the formula: m=y2−y1x2−x1
Where m is the slope and (x1,y1) and (x2,y2) are the two points on the line.
Substituting the values from the points in the problem gives:
m=1−3−4−−2=1−3−4+2=−2−2=1
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Substituting the slope we calculated and the values from the first point in the problem gives:
(y−3)=1(x−−2)
(y−3)=1(x+2)
We can now solve for y to put the equation in slope-intercept form:
y−3=x+2
y−3+3=x+2+3
y=x+5
