Question

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls <3

Answer 1

Answer:

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

Step-by-step explanation:

Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.

Identify 2 coordinates on the line to calculate the slope.

The 2 points are (1, 2) and (4, 4).

Slope

$=\frac{y_1-y_2}{x_1-x_2}$

= $\frac{4-2}{4-1}$

= $\frac{2}{3}$

Substitute the value of the slope into m:

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

Substitute any point into the equation to find c:

When x= 1, y= 2,

$2= \frac{2}{3}(1)+c$

Solve for c:

$c= 2-\frac{2}{3}$

c= $\frac{4}{3}$

Thus, the equation that represents the line is $y=\frac{2}{3}x+\frac{4}{3}$.

Additional:

Should you wish to learn more about slope-intercept form, do check out the following!

• brainly.com/question/26351470