GRAPH FROM SLOPE INTERCEPT EQUATION

To draw the graph of the line from slope intercept equation, we have to know about slope and y-intercept.

Slope :

Slope (m) = Change in y / change in x

From origin, to measure the change in y we are allowed to move up or down.

From origin, to measure the change in x we are allowed to move right or left.

Sign of slope

Positive

Negative

Zero

Undefined

Types of line

Raising line

Falling line

Horizontal line

Vertical line

y-intercept :

The line where it crosses the y-axis is known as y-intercept.

Graph the following equations of lines :

(Hint : Determine the slope and y – intercept)

Problem 1 :

y = -4x + 5

Solution :

y = -4x + 5

By comparing the given equation with slope intercept form, we get

y = mx + b

m = -4

So, slope is -4 and y– intercept is 5.

Problem 2 :

y = (3/4)x - 1

Solution :

y = (3/4)x - 1

y = mx + b

m = 3/4

So, the slope is 3/4 and y – intercept = -1.

Problem 3 :

y = 2x - 2

Solution :

y = 2x - 2

y = mx + b

m = 2

So, the slope is 2 and y – intercept is -2.

Problem 4 :

y = (-5/2)x + 3

Solution :

y = (-5/2)x + 3

m = -5/2

So, the slope is -5/2 and y – intercept is 3.

Problem 5 :

y = -4x

Solution :

y = -4x

y = mx + b

m = -4

So, the slope is -4 and y – intercept is 0.

Problem 6 :

y = 3x – 3

Solution :

y = 3x – 3

m = 3

So, the slope is 3 and y – intercept is -3.

GRAPH FROM SLOPE INTERCEPT EQUATION

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