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1) WILL MAKE BRAINLIEST

write the slope-intercept form of the equation of each line.

1 WILL MAKE BRAINLIEST Write The Slopeintercept Form Of The Equation Of Each Line class=

Sagot :

abcdefdfgfghh

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

1. Approach

Slope intercept form is a way of expressing an equation of a line using the slope of a line, and its y-intercept. The general format for the equation of a line in slope-intercept form is the following,

[tex]y=mx+b[/tex]

Find each of the missing pieces of information and substitute it into the equation to find the equation of the line.

2. Find the slope

The slope of a line is the change in the line is can be found using the following formula,

[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

As one can see on the given graph, two points on the line are the following,

[tex](-2, -1), (-1, 1)[/tex]

Substitute the points into the formula and solve for the slope,

[tex]\frac{(1)-(-1)}{(-1)-(-2)}[/tex]

[tex]=\frac{2}{1}\\\\=2[/tex]

3. Find the y-intercept

The y-intercept of a line is where the line intersects the y-axis. As one can see this point is the following,

[tex](0,3)[/tex]

Thus the y-intercept is (3).

4. Put the information together

Putting all of this information together, substitute the found information into the general equation for slope-intercept form. One can see that the equation of a line is the following,

[tex]y=2x+3[/tex]

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