Final answer:
To write a function with a slope of 4 that includes the point (-1,3), you can use the point-slope form of a linear equation: y - y1 = m(x - x1). Substituting the given values, you'll get y = 4x + 7.
Step-by-step explanation:
To write a function with a slope of 4 that includes the point (-1,3), we can use the point-slope form of a linear equation. The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. In this case, the given point is (-1,3) and the slope is 4. Substituting these values into the equation, we get y - 3 = 4(x - (-1)). Simplifying, we have y - 3 = 4(x + 1). To write the function in slope-intercept form, we can expand the equation: y - 3 = 4x + 4. Finally, we can isolate y by adding 3 to both sides: y = 4x + 7.