Question

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1). What would the y-intercept be???

Answer 1

To find the y-intercept of a line, substitute the x and y values of a given point into the equation y = mx + b and solve for b.

Step-by-step explanation:

The y-intercept of a line can be found using the equation y = mx + b, where m represents the slope and b represents the y-intercept. To find the y-intercept, we need to determine the value of b. We can use one of the given points on the line and substitute the x and y values into the equation to solve for b.

Let's use the point (-5, -3). Substituting -5 for x and -3 for y in the equation y = mx + b, we can solve for b:

-3 = m(-5) + b

Using another given point as well, we can calculate the slope (m) of the line by using the formula m = (y2 - y1) / (x2 - x1). Once we have the slope, we can substitute it back into the equation to solve for b and determine the y-intercept.