StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

Write an equation in point-slope form for the line that passes through the given points.(1,−3), (4,−15)

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

To write the equation of a line in point-slope form, we first need to find the slope of the line. The slope (m) is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Given the points (1, -3) and (4, -15), we can substitute into the formula:

m = (-15 - (-3)) / (4 - 1) m = (-15 + 3) / 3 m = -12 / 3 m = -4

Now that we have the slope, we can use the point-slope form of the line equation, which is:

y - y1 = m(x - x1)

Substituting m = -4, x1 = 1 and y1 = -3, we get:

y - (-3) = -4(x - 1) y + 3 = -4x + 4

So, the equation of the line in point-slope form that passes through the points (1, -3) and (4, -15) is y + 3 = -4x + 4.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.