Lissyhubidn
Answered

Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

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 :

Djtwinx017idn

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

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.