Give the slope and $$ y $$-intercept of the line whose equation is given. Then graph the linear function. $$ f(x)=\frac{3}{4} x-7 $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Question

UpStudy AI · Accepted Answer

1. The given equation is in the slope-intercept form, $$ f(x)=mx+b $$, where $$ m $$ is the slope and $$ b $$ is the $$ y $$-intercept.

2. Comparing with the standard form, we identify:
   - The slope, $$ m = \frac{3}{4} $$.
   - The $$ y $$-intercept, $$ b = -7 $$, which corresponds to the point $$ (0, -7) $$ on the graph.

3. To graph the line:
   - Plot the $$ y $$-intercept $$ (0, -7) $$.
   - From $$ (0, -7) $$, use the slope $$ \frac{3}{4} $$: move 4 units to the right (positive $$ x $$) and 3 units up (positive $$ y $$) to reach the point $$ (4, -4) $$.
   - Connect these points with a straight line.

Thus, the slope is $$ \frac{3}{4} $$ and the $$ y $$-intercept is $$ -7 $$.
The slope is $$ \frac{3}{4} $$ and the $$ y $$-intercept is $$ -7 $$.

Give the slope and -intercept of the line whose equation is
given. Then graph the linear function.

Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions

Give the slope and -intercept of the line whose equation is given. Then graph the linear function. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.