Question

Please help me...................

Answer 1

Answer:

$y = \frac{4}{3}x + 2$

Step-by-step explanation:

Find the equation for the line in slope-intercept form: $y = mx + b$

where m is the slope (gradient) and b is the y-intercept.

To find the slope (m)

Choose 2 points on the line:  (0, 2) and (6, 10)

Let (0, 2) = $(x_1,y_1)$

Let (6, 10) = $(x_2,y_2)$

Use the slope formula:  $m=\frac{y_2-y_1}{x_2-x_1} =\frac{10-2}{6-0} =\frac{4}{3}$

Therefore, $y = \frac{4}{3}x + b$

To find the y-intercept

The y-intercept is when x = 0 (where the line intersects the x-axis).

By inspection, the line intersects the y-axis at y = 2.  

Therefore, y-intercept = 2

So, $y = \frac{4}{3}x + 2$