Question

writing a linear function
choose the answer to complete each statement.
the slope of the line is
the y - intercept is at
the graph represents a
drop - down options for slope: 3/7, 2/3, 7/3, 3/2
points on the line: (3, 4), (0, - 3)

Explanation:

Step1: Calculate slope from two points

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(0,-3)$ and $(3,4)$:
$m=\frac{4-(-3)}{3-0}=\frac{7}{3}$

Step2: Identify y-intercept

The y-intercept is the point where $x=0$, which is given as $(0,-3)$.

Step3: Write linear function

Using slope-intercept form $y=mx+b$, substitute $m=\frac{7}{3}$ and $b=-3$:
$y=\frac{7}{3}x-3$

Answer:

The slope of the line is $\frac{7}{3}$
The y-intercept is at $(0, -3)$
The graph represents the function $y=\frac{7}{3}x-3$