Knowee
Questions
Features
Study Tools

ose we are given the following.Line 1 passes through , −47 and , −22.

Question

ose we are given the following.Line 1 passes through , −47 and , −22.

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

Solution

To find the equation of the line passing through the points (-4, 7) and (-2, 2), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

Given the points (-4, 7) and (-2, 2), we can substitute the values into the formula: m = (2 - 7) / (-2 - (-4)) m = -5 / 2

Step 2: Substitute the slope (m) and one of the points (x1, y1) into the slope-intercept form equation: y = mx + b Using the point (-4, 7): 7 = (-5/2)(-4) + b

Step 3: Solve for b: 7 = 10 + b b = 7 - 10 b = -3

Step 4: Write the equation of the line using the slope (m) and y-intercept (b): y = (-5/2)x - 3

Therefore, the equation of the line passing through the points (-4, 7) and (-2, 2) is y = (-5/2)x - 3.

This problem has been solved

Similar Questions

A line passes through the point −9, 1 and has a slope of −23.Write an equation in point-slope form for this line.

A line passes through the point −−2, 1 and has a slope of −52.Write an equation in point-slope form for this line.

Find the equation of the line that passes through the points (−24,−18)(−24,−18) and (−12,−15)(−12,−15). Give your answer in the form: 𝑎𝑥+𝑏𝑦+𝑐ax+by+c==00

A line passes through the points (–2,–1) and (19,14). Write its equation in slope-intercept form.

-3,-16,-27,0,125,432,(  )

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.