Answer:
[tex]\bold{y=3x-11}[/tex]
Step-by-step explanation:
Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].
For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].
To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].
