Answer:
[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]
Step-by-step explanation:
We have to get the equation of the straight line through the points (3,7) and (-1,4).
Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by
[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].
So, in our case, the equation of the straight line will be
[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]
⇒ 4(y - 7) = 3(x - 3)
⇒ 4y - 28 = 3x - 9
⇒ 4y = 3x + 19
⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)
