Question

Write an equation of the line in slope-intercept form using the points (-2,4) and (0,1).

A) y = 1/2x + 3
B) y = 2x + 1
C) y = -2x + 1
D) y = -1/2x + 3

Answer 1

To write the equation of a line in slope-intercept form using the points (-2,4) and (0,1), we can calculate the slope and then use one of the points to solve for the y-intercept.

Step-by-step explanation:

To write an equation of a line in slope-intercept form using the points (-2,4) and (0,1), we can first find the slope of the line using the formula:

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

Using the coordinates (x1,y1) = (-2,4) and (x2,y2) = (0,1), the slope can be calculated as:

slope = (1 - 4) / (0 - (-2)) = (-3) / 2 = -1.5

Next, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Substituting the slope and one of the given points into the equation, we can solve for the y-intercept b:

1 = (-1.5)(0) + b

b = 1

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

y = -1.5x + 1