To find the equation of the line, we first need to find the slope (m) and the y-intercept (b).
The slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates between two points on the line. Let's consider the points (-5,0) and (5,6). The difference in y-coordinates is 6-0=6, and the difference in x-coordinates is 5-(-5)=10. Therefore, the slope (m) is 6/10 = 3/5.
Now that we have the slope (m), we can use it to find the y-intercept (b). Let's substitute the coordinates (5,6) into the slope-intercept form equation (y=mx+b) and solve for b:
6 = (3/5)(5) + b
6 = 3 + b
b = 6-3
b = 3
Therefore, the equation of the line is y = (3/5)x + 3.
Write the equation of the line in fully simplified slope-intercept form.
Positive line on -10 on x-line
Dot on -5 which is located on x-axis and 2 which on the y-axis
Dot on 4 which is located on y-line
Dot on 5 which is located on x-line and 6 which on the y-axis
Dot on 10 which is located on x-line and 7 which on the y-axis
1 answer
1 answer