Answer:
The slope is [tex]m=\frac{1}{3}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(-2, 7) and (4, 9)
substitute the values in the formula
[tex]m=\frac{9-7}{4+2}[/tex]
[tex]m=\frac{2}{6}[/tex]
Simplify
[tex]m=\frac{1}{3}[/tex]
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of the line that passes through (-2,7) and (4,9)?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Formula utilised here, [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].
Put in the values:
[tex]\bf{\dfrac{9-7}{4-(-2)}}[/tex] | subtract on top & bottom
[tex]\bf{\dfrac{2}{4+2}}[/tex] | simplify
[tex]\bf{\dfrac{2}{6}}[/tex] | reduce
[tex]\bf{\dfrac{1}{3}}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope, S=\dfrac{1}{3}}[/tex]
[tex]\LARGE\boxed{\bf{aesthetics \not1 \theta l}}[/tex]
