Question

What is (5,-3) & (4,0) in slope intercept form?

Answer 1

The slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

The slope intercept form is simply writing an equation of a line so that the slope or steepness and y-intercept i.e. where the line crosses the vertical y-axis are immediately apparent.

The slope-intercept equation is y = mx + c, where x and y are two variables, and m is slope.

Slope m = $\frac{y2-y1}{x2-x1}$

Let,

(x1, y1) = (5, -3)

(x2, y2) = (4, 0)

Slope (m) = $\frac{0 - (-3) }{4 - 5}$

                = $\frac{3}{-1}$

                = -3

By substituting x, y, and m values in the equation we can get the value of c.

Consider x = 4 , y = 0, m = -3

y = mx + c => 0 = (-3)4 + c

                      c = 12

Therefore, the slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

To know more about slope-intercept form:

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