Final answer:
To write the equation in slope intercept form, you use the given slope and a point to find the equation using the point-slope form.
Step-by-step explanation:
To write an equation in slope-intercept form, y = mx + b, you need to find the slope (m) and the y-intercept (b). The slope is given in each of the questions. You also have a point that the line passes through. You can use the point-slope form, y - y1 = m(x - x1), to find the equation.
1. Slope of 3 and passes through (4,6):
Using the point-slope form:
y - 6 = 3(x - 4)
y - 6 = 3x - 12
y = 3x - 6
2. Slope of 1/2 and passes through (4,6):
Using the point-slope form:
y - 6 = 1/2(x - 4)
y - 6 = 1/2x - 2
y = 1/2x + 4
3. Slope of -2/3 and passes through (-3,6):
Using the point-slope form:
y - 6 = -2/3(x + 3)
y - 6 = -2/3x - 2
y = -2/3x + 4