Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

y = x + 3

Step-by-step explanation:

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

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

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula and substitute values for , , and . From there, we can convert the equation into slope-intercept form.

Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the

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