Question

Help me please I need you help.​

Answer 1

The slope-intercept form is y = mx + b. m is the slope, b = y-intercept. The value of the slope is -3, the value of the y-intercept is 2.

The slope intercept form of a linear equation.

The slope-intercept form of a linear equation is represent a way to express the relationship between the x values and the y values on the graph. It is generally written as:

y = mx + b

• Here;
• y = values on y -axis
• m = slope
• x = values on the x -axis
• b = y-intercept

The slope is the change in the y axis divided by the change in the x-axis and it can be mathematically represented as:

`Slope (m) =(\Delta y)/(\Delta x)`

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

The y-intercept is the value of y, at which x is zero.

From the given question; we are to try to graph the line y = -3x + 2. Using the general formula of slope intercept equation y = mx + b.

The slope (m) = -3

The y-intercept for this equation is = 2

To plot the graph, we need two points on the graph (x,y). Let assume x = 2, to solve for y:

y = -3x + 2

y = -3(2) + 2

y = -6 + 2

y = -4

So, when x = 2, y = -4 . (x,y) values = (2, -4)

Let assume when x = -1, what is y?

y = -3x + 2

y = -3(-1) + 2

y = 3 + 2

y = 5

So, (x,y) values = (-1, 5)

With these two points, we can plot the graph of y = -3x + 2.