Using the given points and line, determine the slope of the line.
(-3, 0) and (2, 7)
Answer:
The slope is [tex]\frac{7}{5}[/tex].
Step-by-step explanation:
We know that,
If a line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Then, the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]x_1=-3[/tex], [tex]y_1=0[/tex] [tex]x_2=2[/tex]. [tex]y_2=7[/tex],
Hence, the slope of the given line is,
[tex]m=\frac{7-0}{2-(-3)}[/tex]
[tex]=\frac{7}{2+3}[/tex]
[tex]=\frac{7}{5}[/tex]