Question

Y=?x+? Solve the equation

Answer 1

y = 2x + 4

Explanation:

The slope 2 is the rise over the run. Start at any point on the line and go up 2 and one to the right and you will end up back on the line again.

2/1 = 2

The line crosses the y axis it 4.

y = mx + b The m is 2 and the b is 4

y = 2x + 4

Answer 2

y = 2x +4

Explanation:

You want the equation of the line shown on the given graph.

Intercepts

The line crosses the x-axis at x = -2. This is the x-intercept.

The line crosses the y-axis at y = 4. This is the y-intercept.

Equation

The intercept form of the equation for a line is ...

x/a +y/b = 1

where 'a' and 'b' are the x- and y-intercepts, respectively.

Using the intercepts we identified, the equation for the line is ...

x/-2 +y/4 = 1

Multiplying by 4 gives ...

-2x +y = 4

Adding 2x puts this in slope-intercept form:

y = 2x +4

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