Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1, 4).
notice the y values of your points are the same, so the line is horizontal.
The equation of any horizontal line takes the form y = ??
and from your points, y = 4 is the equation.
To find the equation in slope-intercept form of the line passing through the points (-3, 4) and (1, 4), we need to determine the slope (m) and the y-intercept (b) of the line.
Step 1: Find the slope (m)
The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates (-3, 4) and (1, 4), we get:
m = (4 - 4) / (1 - (-3))
m = 0 / 4
m = 0
Step 2: Find the y-intercept (b)
We can use either of the two given points to find the y-intercept. Let's use the point (-3, 4).
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Plugging in the values, we get:
4 = 0*(-3) + b
4 = 0 + b
b = 4
Step 3: Write the equation in slope-intercept form
We now have the values of m and b, so we can write the equation in slope-intercept form.
y = mx + b
y = 0*x + 4
y = 4
Therefore, the equation of the line passing through the points (-3, 4) and (1, 4) in slope-intercept form is:
y = 4
To find the equation of a line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).
First, let's find the slope (m). The formula for slope (m) is:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are any two points on the line.
Given the points (-3, 4) and (1, 4), we can substitute the coordinates into the formula:
m = (4 - 4) / (1 - (-3)).
m = 0 / 4.
m = 0.
Since the slope (m) is 0, the equation's slope-intercept form would be y = 0x + b. To find the value of b, we can substitute the coordinates of either of the given points into the equation.
Let's use the point (-3, 4):
4 = 0 * (-3) + b.
4 = 0 + b.
b = 4.
So, the equation in slope-intercept form is y = 0x + 4, which simplifies to y = 4.