What is the slope and y intercept of an equation

Asked by admin @ in Mathematics viewed by 283 People

Use the graph to find the slope and y-intercept to write

the equation in slope-intercept form.The graph shown is y=x+​

Answered by admin @


Answer:

Slope = -1/2

Y-intercept is y = -1

Equation of the line: y=-\frac{1}{2}x-1

Step-by-step explanation:

The slope intercept form is  y = mx + b

Where, m is slope, and

b is y-intercept

We need 2 points to find these. One point is  (-2,0) and second point is (2,-2).

THe formula for slope, m, is m = \frac{y_2-y_1}{x_2-x_1}

Plugging the points, we get the slope to be:

\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-0}{2--2}\\=\frac{-2}{4}\\=-\frac{1}{2}

y-intercept is the point where the line crosses the y axis. Looking at the graph, y-intercept is y = -1.

Now we plug slope and y-intercept into the slope-intercept form to get:

y=mx+b\\y=-\frac{1}{2}x-1


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