Question

Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

Answer 1

Answer:

• See below

Step-by-step explanation:

Use the slope-intercept form, which will be in this case:

• g(u) = mu + b, where m is the slope, b is the y- intercept

Find the slope:

• $m=(y_2-y_1)/(x_2-x_1)$
• $m=(-8-5)/(-5-20)=(-13)/(-25)=13/25$

Find the value of the y-intercept:

• $5=1/25*20+b$
• $b=5-4/5=21/5$

The equation is:

• $g(u)=\frac{13}{25} u+\frac{21}{5}$