Mathematics: I think I have the slope but I need help with the equation and the y-intercept

I think I have the slope but I need help with the

wow65

11.02.2022

$m=\frac{1}{2}$ The y-intercept (b) = -2The equation of the line is:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

Given the points

(4, 0)(0, -2)

Finding the slope between two points

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

$\left(x_1,\:y_1\right)=\left(4,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-2\right)$

$m=\frac{1}{2}$

We know that the y-intercept can be obtained by setting the value x=0 and solving for y.

From the graph, it is clear that at x=0, the value of y = -2

Thus, the y-intercept (b) = -2

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Substituting m=1/2 and y-interept (b) = -2 in the slope-intercept form of the line equation

y=mx+b

$y=\frac{1}{2}x+\left(-2\right)$

$y=\frac{1}{2}x-2$

Thus, the equation of the line is:

$y=\frac{1}{2}x-2$

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