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A line with a slope of 1 passes through the point (7,3). What is its equation in
slope-intercept form?

A Line With A Slope Of 1 Passes Through The Point 73 What Is Its Equation In Slopeintercept Form class=

Sagot :

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Answer:

y = x - 4

Step-by-step explanation:

Given the slope (m) = 1, and the point (7, 3):

We can determine the  equation of the line in its slope-intercept form, y = mx + b by plugging in the given numbers to identify the y-intercept.

Let the slope (m) = 1

x = 7

y = 3

We'll plug these values into the slope-intercept form to solve for the y-intercept.

The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0, hence having the coordinates of (0, b).

y = mx + b

3 = 1(7) + b

3 = 7 + b

Subtract 7 from both sides to solve for the y-intercept, b:

3 - 7 = 7 - 7 + b

-4 = b

Therefore, the y-intercept is -4.

Now that we have our slope, m = 1, and the y-intercept (b) = -4, we can establish our linear equation in slope-intercept form:

y = x - 4

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