Write the equation of the line that passes through the points (4, 7) and (-3, 7). Show all your work for credit.
To find the equation of the line that passes through two given points, we can use the slope-intercept form of a linear equation: y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Step 1: Find the slope (m)
The formula for finding the slope (m) using two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Given the points (4, 7) and (-3, 7):
m = (7 - 7) / (-3 - 4)
m = 0 / -7
m = 0
Step 2: Find the y-intercept (b)
Since the line passes through the point (4, 7), we can substitute these values into the equation y = mx + b to find the y-intercept (b):
7 = 0 * 4 + b
7 = b
Step 3: Write the equation
After finding the slope (m = 0) and the y-intercept (b = 7), we can write the equation of the line:
y = 0x + 7
Simplifying, we get:
y = 7
So, the equation of the line that passes through the points (4, 7) and (-3, 7) is y = 7.
Start with
y=mx + b
YOu have two sets of x,y.
Write each set into an independent equation, then you have two equations, two unknowns (m,b). Solve