Respuesta :
The points on a line are the true values of the line equation
Another point on the line is (4,12)
The given parameters are:
[tex]\mathbf{m = 7}[/tex] --- slope
[tex]\mathbf{(x_1,y_1) = (3,5)}[/tex] --- the points on the line
So, the line equation is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = 7(x - 3) + 5}[/tex]
Open brackets
[tex]\mathbf{y = 7x - 21 + 5}[/tex]
[tex]\mathbf{y = 7x - 16}[/tex]
Assume x = 4.
So, we have:
[tex]\mathbf{y = 7 \times 4 - 16}[/tex]
[tex]\mathbf{y = 28 - 16}[/tex]
[tex]\mathbf{y = 12}[/tex]
Hence, another point on the line is (4,12)
Read more about points on a line at:
https://brainly.com/question/8210863