Determine the standard form of the equation of the line that passes through (6,-9) and (-8, 6)

Answer 1

Hello, Lisa! I am more than happy to help you with this problem. The standard form of a linear equation is ax + by = c. First, we must determine the slope, which represent by a in ax. The slope is calculated by the formula (y₂ - y₁)/(x₂ - x₁). The x-value of 6 is x₁, the y-value of -9 is y₁, the x-value of -8 is x₂, and the y-value of 6 is y_2. Using the slope formula, the slope of (6, -9) and (-8, 6) is -15/14. You can use the slope-intercept form to find the y-intercept (b in slope, but c in standard form), by plug in the values of either ordered pair. The constant, c, is -18/7. Therefore, the standard form for this problem is 15x/-14 + y = -18/7.