There are several ways to find the equation of a line. One common method is to use the slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (0, 3) and (-1, 5) to find the slope:
m = (5 - 3) / (-1 - 0) = 2 / -1 = -2
Next, we can choose any point on the line and substitute its coordinates (x, y) along with the slope into the slope-intercept form, y = mx + b, to find the value of b. Let's use the point (0, 3):
3 = -2 * 0 + b
3 = b
Therefore, the equation of the line is:
y = -2x + 3
Math Equation Response Question
A line is graphed below.
The line passes through the points (0, 3), (-1, 5), and (3, -3)
Write an equation in the form y = mx + b that represents this line.
Use the on-screen keyboard to type the correct equation in the box.
$$
1 answer