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

Suzhoumeite

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Jul 03, 2024

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

Slope-intercept form is a way of expressing a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept. In this article, we will explore how to convert two points, (-4, 3) and (-3, 1), to slope-intercept form.

Finding the Slope

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

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

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

Plugging in the values, we get:

m = (1 - 3) / (-3 + 4) m = -2 / 1 m = -2

So, the slope is -2.

Finding the Y-Intercept

Now that we have the slope, we can use either of the points to find the y-intercept. We'll use the point (-4, 3).

The slope-intercept form is y = mx + b. We know the slope (m) and one point (x, y), so we can plug in the values to solve for b.

3 = (-2)(-4) + b 3 = 8 + b b = -5

So, the y-intercept is -5.

Slope-Intercept Form

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

y = -2x - 5

This is the equation in slope-intercept form for the points (-4, 3) and (-3, 1).

In conclusion, by using the points (-4, 3) and (-3, 1), we were able to find the slope and y-intercept, and write the equation in slope-intercept form as y = -2x - 5.