What is the equation of the line that passes through (4,1) and (-2, 3)

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

step-by-step explanation: