Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.
A)y = x-2
B)y = x-6
C)y = x+2
D)y = x-4
E)y = x+6

Question

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line. ​  ​
A)y = x-2 
B)y = x-6 
C)y = x+2 
D)y = x-4 
E)y = x+6

Quizplus · Accepted Answer

To find the slope-intercept form of the equation of the line passing through two points, we need to first find the slope using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points, we get:

slope = (2 - 0) / (-1 - (-3)) = 2/2 = 1

Next, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope and b is the y-intercept.

To find b, we can plug in one of the given points and solve for b:

0 = 1(-3) + b
b = 3

Therefore, the equation of the line in slope-intercept form is:

y = x + 3

This matches answer choice C.

Find the Slope-Intercept Form of the Equation of the Line