Answer:
y=3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
gradient=[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Let's choose 2 points on the graph so we can work out the gradient.
➣(0,4) and (2,10)
gradient of the line
[tex] = \frac{10 - 4}{2 - 0} \\ = \frac{6}{2} \\ = 3 [/tex]
Subst. m=3 into the equation.
y= 3x +c
From the graph, the y-intercept is 4. Thus c=4.
Therefore the equation of the graph shown is y=3x+4.
