Question

find an equation of the line containing the given pair of points. (-4,0) and (0,3) an equation of the line is y = \boxed{}. (type your answer in slope - intercept form. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Calculate slope $m$

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Let $(x_1,y_1)=(-4,0)$ and $(x_2,y_2)=(0,3)$.
$m=\frac{3-0}{0-(-4)}=\frac{3}{4}$

Step2: Identify y-intercept $b$

The y-intercept is the $y$-value when $x=0$. From the point $(0,3)$, $b=3$.

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{3}{4}$ and $b=3$.
$y=\frac{3}{4}x+3$

Answer:

$y=\frac{3}{4}x+3$