o find the equation of a line that passes through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).
1. The equation of the line that passes through (0,0) and (1,3) is y = 3x.
2. The equation of the line that passes through (3,-2) and (-6,3) is y = -x/2 - 1.
3. The equation of the line that passes through (-2,3) and (3,-4) is y = -7/5x - 6/5.
4. The equation of the line that passes through (4,3) and (0,6) is y = 3/2x + 3.
5. The equation of the line that passes through (0,2) and (2,-2) is y = -x.
6. The equation of the line that passes through (2,3) and (0,4) is y = 2x + 1.
7. The equation of the line that passes through (2,3) and (-1,-3) is y = -2x - 5.
8. The equation of the line that passes through (0,0) and (-6,-6) is y = -x.
9. The equation of the line that passes through (-1,1) and (2,4) is y = 3/2x + 1/2.
10. The equation of the line that passes through (1,1) and (0,5) is y = 5x - 5.