Question

Tell whether each equation is in slope-intercept, point-slope, or standard form.

Answer 1

y+2=-2(x-1) is in point-slope form, it is neither in slope-intercept form nor standard form.

What is a slope of line?

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope.

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

the equation looks like this in point-slope form ⇒ y-(-2)= -2(x-1)

Here, the points are (x, y) and the points the line is passing through is

(1, -2)

Learn more about slope

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