Final answer:
To write a linear equation in slope-intercept form given the slope and a point, use the formula y - y1 = m(x - x1), where (x1, y1) represents the given point and m represents the slope. Substituting the given values into the formula and simplifying gives y = 3x - 4.
Step-by-step explanation:
To write a linear equation in slope-intercept form given the slope and a point, we can use the formula: y - y1 = m(x - x1), where (x1, y1) represents the given point and m represents the slope. In this case, the slope is 3 and the point is (-2, -10).
Substituting the values into the formula, we get: y - (-10) = 3(x - (-2)). Simplifying, we have: y + 10 = 3(x + 2). To express the equation in slope-intercept form, we can further simplify: y = 3x + 6 - 10. Hence, the linear equation from the given slope and point is y = 3x - 4.
Learn more about Writing linear equations from slope and a point