(05.02) A line passes through (4, 5) and (8, 9). Which equation best represents the line?

y = x + 1
y = 1
y = 2x + 1
y = 5x + 8

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 . and represent the x and y values of one point, and and represent the x and y values of another point.

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

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.

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step-by-step explanation: