(-3 4) (1 4) In Slope Intercept Form

3 min read Jul 03, 2024

Converting (-3, 4) and (1, 4) to Slope-Intercept Form

In this article, we will learn how to convert two points (-3, 4) and (1, 4) into slope-intercept form, which is a commonly used form of linear equations.

What is Slope-Intercept Form?

The slope-intercept form of a linear equation is written in the form of y = mx + b, where:

m is the slope of the line (a measure of how steep it is)
b is the y-intercept (the point at which the line crosses the y-axis)

Step 1: Find the Slope (m)

To find the slope, we need to use the formula:

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

where (x1, y1) = (-3, 4) and (x2, y2) = (1, 4)

m = (4 - 4) / (1 - (-3)) m = 0 / 4 m = 0

Since the slope is 0, this means that the line is horizontal.

Step 2: Find the Y-Intercept (b)

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (1, 4).

We know that the equation is in the form of y = mx + b. Since m = 0, the equation becomes:

y = 0x + b

Substitute the point (1, 4) into the equation:

4 = 0(1) + b 4 = b

So, the y-intercept is 4.

Slope-Intercept Form

Now that we have the slope and y-intercept, we can write the equation in slope-intercept form:

y = 0x + 4 y = 4

This is the equation of the line that passes through the points (-3, 4) and (1, 4).