Question

Consider the graph shown.


What is the slope of the graph?
Write an equation for the line.



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Answer 1

Answer:

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

The equation of line is $y=\frac{3}{4}x+1$ .

Step-by-step explanation:

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, then the slope of the line is

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

From the given graph it is clear that the line is passes through the points (0,1) and (4,4).

$Slope=\frac{4-1}{4-0}$

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

The

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept

The slope of the line is $\frac{3}{4}$ and y-intercept is 1, so the equation of line is

$y=\frac{3}{4}x+1$

Therefore, the equation of line is $y=\frac{3}{4}x+1$ .