Chapter 4.1, Problem 10E

To determine

To write:An equation of the line in slope-intercept form.

Answer to Problem 10E

The equation of the lineis $y=-\frac{1}{4}x+3$ .

Explanation of Solution

Given information:Given points are $(0,3)$ and $(4,2)$ .

Calculation:

Slope intercept form is $y=mx+b$

  $m=\frac{y_2-y_1}{x_2-x_1}$

Substituting given values in above mentioned equation,

  $m=\frac{2-3}{4-0}$

  $=\frac{-1}{4}$

As evident from the graph $y-\mathrm{intercept}(b)=3$ ,

Writing equation in slope-intercept form,

  $y=-\frac{1}{4}x+3$

The equation of the lineis $y=-\frac{1}{4}x+3$ .