Question

If the general equation of a straight line is 2x + 3y − 9 = 0, then the y-intercept of the line is ____.​

Answer 1

Answer:

3

Step-by-step explanation:

    2x + 3y − 9 = 0

=> 2x + 3y = 9

=> $\frac{2x}{9} + \frac{3y}{9}$ = 1

=> $\frac{x}{4.5} + \frac{y}{3}$ = 1

So, y-intercept of the line is 3.

Answer 2

Concept:

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Given:

If the general equation of a straight line is 2x + 3y − 9 = 0,

Find:

Find the y-intercept of the line?

Solution:

2x + 3y − 9 = 0

=> 2x + 3y = 9

=> 3y = -2x+9

=>  y= -2x/3 +3

On comparing with y=mx+c

c=3

Therefore, y-intercept is 3

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