Question

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?

Answer 1

Explanation:

`slope=(rise)/(run)=(\Delta y)/(\Delta x)\\\\\text{We have}\ m=0.5=(1)/(2)\to\Delta y=1,\ \Delta x=2\\\\\text{From given point (y-intercept: (0, 2), run 1 unit up and 2 units to the right.}\\(x+2,\ y+1)\to(0+2,\ 2+1)=(2,\ 3)\\\text{Mark new point.}\\\text{Plot the line passes throught given points.}\\\\======================\\\\\Delta x > 0-\text{run to the right}\\\Delta x<0-\text{run to the left}\\\Delta y>0-\text{run up}\\\Delta y<0-\text{run down}`

Answer 2

D the last one