Question

slope intercept form of (-3,4)

Answer 1

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given the point (-3,4), we can use this point to find the equation of the line in slope-intercept form.

First, we need to find the slope (m) using the formula:

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

In this case, we have the point (-3,4), so x1 = -3 and y1 = 4. We can choose another point to find x2 and y2, or simply use the slope as is.

m = (4 - 4) / (-3 - 0)
m = 0 / -3
m = 0

Now that we have the slope m = 0, we can plug it into the slope-intercept equation as follows:

y = 0x + b
y = b

To find b, we can substitute the coordinates of the given point into the equation:

4 = 0(-3) + b
4 = 0 + b
b = 4

So the equation of the line passing through the point (-3,4) in slope-intercept form is:

y = 0x + 4
y = 4