Question

What is the slope-intercept form of the function that contains the point (3, 4) and has a slope of 2?

Answer 1

`The\ slope-intercept\ form:y=mx+b\\The\ slope-point\ form:y-y_1=m(x-x_1)\\----------------------\\\\m=2;\ (3;\ 4)\to x_1=3\ and\ y_1=4\\\\subtitute\\\\y-4=2(x-3)\\y-4=2x-6\ \ \ |add\ 4\ to\ both\ sides\\\boxed{y=2x-2}`

Answer 2

The slope - intercept form of the equation of a line can be generally expressed as,
y = mx + b
The equation of the line can be obtained by,
y - y1 = m(x - x1)
Substituting the known values,
y - 4 = 2(x - 3)
Simplifying,
y = 2x - 2