Question

show me the graph of
10x + 7y < 49

Answer 1

Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

$10x+7y<49\\7y<-10x+49\\y<-\frac{10}{7}x+\frac{49}{7}\\\\y<-\frac{10}{7}x+7$

2. The equation of the line in slope intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

$y=-\frac{10}{7}x+7$

then:

$m=-\frac{10}{7}\\\\b=7$

4. Find the x-intercept. Make y=0. Then:

$0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9$

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.