Question

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Answer 1

y = 3x+4

Explanation:

slope formula is changes of y over the changes of x

`\large \boxed{m = (y_2-y_1)/(x_2-x_1) }`

m is slope in y = mx+b.

Substitute the coordinate points in.

`\large{m = (7 + 2)/(1 + 2) } \\ \large{m = (9)/(3)} \\ \large{m = 3}`

Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.

`\large{y = mx + b} \\ \large{y = 3x + b}`

Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.

`\large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}`

Then rewrite the equation from y = 3x+b by substituting the value of b.

`\large{y = 3x + b} \\ \large{y = 3x + 4}`