Answer:
The equation of a line is written in the form y=mx+b. “m” is the slope and “b” is the y-intercept. To find the slope, use the distance formula. The distance formula is Y2-Y1/X2-X1. You can use any two points on the graph but I will use (0,4) and (3,6).
6-4/3-0
2/3
The slope is 2/3. To find the y-intercept, look at the graph and find the where the line crosses the y-axis. The y-intercept in 4. So, the equation of this line is y=2/3x+4.
:)
Answer:
[tex]y=\boxed{\dfrac{2}{3}}\:\:x+\boxed{4}[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y = mx + b[/tex]
where:
To find the slope of the given line, define two points on the line:
Substitute the two defined points into the slope formula and solve for m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{4-0}{0-(-6)}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
The y-intercept is y-value of the point at which the lines crosses the y-axis. From inspection of the graph, the y-intercept is 4.
Therefore, substitute the found slope and y-intercept into the slope-intercept formula to create the equation of the given line:
[tex]\implies y=\dfrac{2}{3}x+4[/tex]
To learn more about slope-intercept form here:
https://brainly.com/question/27926846