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Find the slope and y intercept of the line shown below question number 4

Find The Slope And Y Intercept Of The Line Shown Below Question Number 4 class=

Sagot :

The image of the line provided seems to go through the following points:

(0, 4) , (-4, 5), and (4, 3)

Knowing at least two points is essential to calculate the slope via the formula:

[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

so, for example if we use the points (0, 4) and (-4, 5) to calculate the slope, we get:

[tex]\text{slope}=\frac{5-4}{-4-0}=-\frac{1}{4}[/tex]

Therefore, the slope is -1/4 (negative one fourth)

Notice as well that one of the points we chose is (0, 4) which in fact is the y-intercept of the line (the point at which the line crosses the y-axis ).

so we have al the elements to built the equation of this line:

slope = -1/4

y intercept = 4 for the (0, 4) on the plane

Then the equation could be built using:

y = (-1/4) x + 4

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