Write an equation in slope-intercept form that satisfies the information given about the line
Goes through the points (1, -3) and (2, -6)
To find the equation of the line in slope-intercept form, we need to first find the slope of the line. The slope, denoted by m, can be found using the formula:
m = (y2 - y1)/(x2 - x1)
Using the points (1, -3) and (2, -6), we have:
m = (-6 - (-3))/(2 - 1)
m = (-6 + 3)/(2 - 1)
m = -3/1
m = -3
Now that we have the slope, we can substitute it into the equation y = mx + b, where m is the slope and b is the y-intercept, to find the equation. We can use one of the given points, such as (1, -3), to solve for b.
-3 = -3(1) + b
-3 = -3 + b
-3 + 3 = b
0 = b
Therefore, the y-intercept, b, is 0.
Now we can write the equation of the line in slope-intercept form:
y = -3x + 0
Simplifying, we get:
y = -3x