Final answer:
To find the equation in slope-intercept form, first find the slope using the formula and then find the intercept using one of the points and the slope.
Step-by-step explanation:
To write an equation in slope-intercept form, we need to find the slope and intercept. The slope can be found using the formula: m = (y2 - y1) / (x2 - x1). Given the two points (-5, 19) and (5, 13), we have: m = (13 - 19) / (5 - (-5)) = -6 / 10 = -3/5. The intercept can be found by substituting one point and the slope into the equation y = mx + b. Using the point (-5, 19), we have: 19 = (-3/5)(-5) + b, which simplifies to: 19 = 3 + b. Solving for b, we get b = 16. Therefore, the equation is y = (-3/5)x + 16.
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