161k views
5 votes
How to write the slope intercept of m=4; (2,3)

User Dispix
by
8.1k points

1 Answer

4 votes

Final answer:

To write the slope-intercept form of a line with slope m=4 and point (2,3), substitute the values into y = mx + b to find b and rewrite the equation as y = 4x - 5.

Step-by-step explanation:

To write the slope-intercept form of a line with the given slope m=4 and passing through the point (2,3), we use the formula y = mx + b. Here, m represents the slope, and b represents the y-intercept, the point where the line crosses the y-axis. Knowing that our slope is 4 and our line passes through the point (2, 3), we can plug in the values to solve for b.

Start with the slope-intercept formula and plug in the known values:

3 = (4)(2) + b

Then solve for b:

3 = 8 + b

b = 3 - 8

b = -5

Now that we have the value for b, the slope-intercept form of our line is:

y = 4x - 5

User Amistad
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories