Write the equation of the line in slope-intercept form that goes through the points: (0, 3) and (3, -6)

y = -3x + 3  

Step-by-step explanation:

Slope-intercept form is represented by the equation y = mx + b. We can write an equation in point-slope form first, then convert it to that form.  

1) First, find the slope of the equation. Use the slope formula and substitute the x and y values of the given points into it. Then, simplify:

Thus, the slope is -3.

2) Now, use the point-slope formula, and substitute values for , , and . From there, we can isolate y to convert the equation into slope-intercept form.

Since represents the slope, substitute -3 in its place. Since and represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the formula, too. (I chose (0,3), as shown below). Finally, isolate y to find the

step-by-step explanation:

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