Question

Plz help i need answer ASAP

Answer 1

Answer:

y = 2x + 2

Step-by-step explanation:

Reading the graph!

• The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

• The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

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Intercepts:

When a line meets both the axes (x-axis and y-axis), it forms intercepts.

There are two types of intercepts:

• x-intercept (when the line meets the x-axis)
• y-intercept (when the line meets the y-axis)

Each of their length is equal to their distance from the Origin(0, 0)

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Equation of a line (intercept form):

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

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Equation of the line in question:

• x-intercept (a) = -1
• y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

The sign of the denominator is taken by the numerator:

$\implies \mathsf{ - \frac{x}{1} + \frac{y}{2} = 1 }$

Taking LCM:

$\implies \mathsf{ \frac{ - 2x + y}{ 2} = 1 }$

Cross multiplying:

$\implies \mathsf{ - 2x + y = 2 }$

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Isolating y:

$\implies \mathsf{ \underline{ y = 2 + 2x }}$

That's the equation of the given line!