Knowee
Questions
Features
Study Tools

Find the equation of the line that passes through the following two points:(5, -9) and (3, -3)

Question

Find the equation of the line that passes through the following two points:(5, -9) and (3, -3)

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

Solution

Step 1: Find the slope (m) of the line. The formula to find the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).

So, m = (-3 - (-9)) / (3 - 5) = 6 / -2 = -3.

Step 2: Use the point-slope form of a line, which is y - y1 = m(x - x1). You can use either of the given points for (x1, y1). Let's use (5, -9).

So, y - (-9) = -3(x - 5).

Step 3: Simplify the equation.

y + 9 = -3x + 15.

Step 4: Rearrange the equation to the slope-intercept form (y = mx + b).

y = -3x + 15 - 9.

So, the equation of the line that passes through the points (5, -9) and (3, -3) is y = -3x + 6.

This problem has been solved

Similar Questions

Find the slope of the line passing through the points −−5, 2 and −3, 9.

line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line?

Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.

A line passes through the points (2,–2) and (3,–9). Write its equation in slope-intercept form.

Find the equation of the line that passes through the following two points:(3, -7) and (7, 2)

1/3

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.