Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Magtanong ng anumang bagay at makatanggap ng mga maalam na sagot mula sa aming komunidad ng mga propesyonal.
Hi Brainly user! I'll answer your question.
First we're going to use the two points and the slope formula to find the slope of the line.
The slope formula is:
[tex]\sf m=\cfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values:
[tex]\sf m=\cfrac{7-(-2)}{4-1}[/tex]
[tex]\sf m=\cfrac{7+2}{3}[/tex]
[tex]\sf m=\cfrac{9}{3}[/tex]
[tex]\sf m=3[/tex]
Now that we know the slope, we are going to use the first point and the point-slope formula to determine the equation.
The point-slope formula is:
Substitute the values:
[tex]\sf y-(-2)=3(x-1)[/tex]
[tex]\sf y+2=3(x-1)[/tex]
[tex]\sf y+2=3x-3[/tex]
[tex]\sf y=2x-3-2[/tex]
[tex]\sf y=2x-5[/tex]
Therefore, the line's equation is y = 2x - 5.