Question

The graph of a linear function passes through the points (-10, -14) and (10, 11). Place (click and drag) a choice from each list into its corresponding b

describe the slope and y-intercept of the function.

Answer 1

Slope = 1.25

Y-intercept = -1.5

Explanation:

Slope:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)=(11-(-14))/(10-(-10))=(11+14)/(10+10)=(25)/(20)=1.25`

Y-intercept:

`y=mx+b\\\rightarrow y=1.25x+b\\\rightarrow 11=1.25(10)+b\\\rightarrow 11=12.5+b\\\rightarrow -1.5=b`

Final Equation:

`y=1.25x-1.5`