To derive the equation of the line in slope-intercept form using the points (1,3) and (0,-2), we need to find the slope and the y-intercept of the line.
The slope (m) of a line can be calculated using the formula:
m = (change in y) / (change in x)
Given the points (1,3) and (0,-2), we can calculate the change in y and the change in x as follows:
change in y = 3 - (-2) = 5
change in x = 1 - 0 = 1
Now, we can calculate the slope:
m = (change in y) / (change in x) = 5 / 1 = 5
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept. To find the y-intercept, we can substitute one of the given points into the equation.
Let's substitute the point (1,3):
3 = 5(1) + b
3 = 5 + b
b = 3 - 5
b = -2
Now we have the slope (m = 5) and the y-intercept (b = -2). We can write the equation of the line in slope-intercept form:
y = 5x - 2
use the graph to derive the equation of the line in slope-intercept form. (1,3) and (0,-2)
1 answer
1 answer