What linear function in form y=Mx+b for the line passing through (4.5,-4.25) with y-intercept 2.5

       For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.

Finding the Slope    

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                        =  (2.5 - (- 4.25)) ÷ (0 - 4.5)

                                        =  −1.5

 Finding the Equation

Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)

                                            y = −1.5x + 2.5

Checking my

I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.

what are ur choices?