Answer:
y = 3x+4
Step-by-step explanation:
slope formula is changes of y over the changes of x
[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
m is slope in y = mx+b.
Substitute the coordinate points in.
[tex] \large{m = \frac{7 + 2}{1 + 2} } \\ \large{m = \frac{9}{3}} \\ \large{m = 3}[/tex]
Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.
[tex] \large{y = mx + b} \\ \large{y = 3x + b}[/tex]
Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.
[tex] \large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}[/tex]
Then rewrite the equation from y = 3x+b by substituting the value of b.
[tex] \large{y = 3x + b} \\ \large{y = 3x + 4}[/tex]
