Question

Question #18The graph shows the solution of a linear equation.Y1051010What is the linear equation?Аy=-43 +4By=-3x +4Cy=32 +2

Answer 1

B. y = -3x + 4

Step-by-step explanation:

To know the equation of a line, we need to find the slope m and the y-intercept b. Then, the equation of the line will be:

y = mx + b

So, the slope of the line can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are two points in the line.

So, replacing (x1, y1) by (0, 4) and (x2, y2) by (2, -2), we get:

`m=(-2-4)/(2-0)=(-6)/(2)=-3`

Then, the y-intercept is the point where the graph crosses the y-axis, in this case, the y-intercept is the point (0, 4) so the value of b is 4.

Therefore, the equation of the line is:

y = -3x + 4

So, the answer is:

B. y = -3x + 4