Question

Write the equationу02.1119627a25A y=1.3B, y=2444C, youD, Y=312

Answer 1

Option A is correct.

y = 4x + 3

Step-by-step explanation

To do this, we need to know that

The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, we need to calculate the slope and y-intercept of this

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

Taking the first two given values for (x₁, y₁) and (x₂, y₂)

(x₁, y₁) and (x₂, y₂) = (0, 3) and (2, 11)

`\text{Slope = }(11-3)/(2-0)=(8)/(2)=4`

And the y-intercept is the value of y when x = 0

when x = 0, y = 3

So,

y = mx + c is

y = 4x + 3