Question

(05.02)

Answer 1

Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula $\frac{y_2-y_1}{x_2-x_1}$. $x_1$ and $y_1$ represent the x and y values of one point, and $x_2$ and $y_2$ represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for $x_1$, 5 for $y_1$, 8 for $x_2$, and 9 for $y_2$ then solve:

$\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1$

Therefore, the slope is 1.

2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.