Both Sue and Kathy are correct because they both found the equation of the line passing through the points (-3, 4) and (6, 10) using different methods. Sue used the point-slope form of a linear equation which states y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. Sue correctly found the slope to be 2/3 and the point (-3, 4) to use in the equation.
On the other hand, Kathy found the slope-intercept form of a linear equation which states y = mx + b, where m is the slope of the line and b is the y-intercept. Kathy correctly found the slope to be 2/3 and the y-intercept to be 6 in her equation.
Therefore, both Sue and Kathy are correct in their approach to finding the equation of the line passing through the given points.
Sue and Kathy were doing their algebra homework. They were asked to write the equation of the line that passed through the points (-3, 4) and (6, 10). Sue wrote
y - 4 2/3(x + 3) and Kathy wrote y = 2/3x + 6. Justify why both students are correct like a 8th grader
1 answer
1 answer