The point slope form given (-3, 10) with m = -4 will be y = -4x -2.
What is the Point-slope form?
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Given; The point slope form given (-3, 10) with m = -4.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
Now, we have
y-y₁ = m(x-x₁)
y-10= -4(x - (-3))
y - 10 = -4 (x + 3)
y - 10 = -4x - 12
y = -4x -2
Therefore, The point slope form given (-3, 10) with m = -4 will be y = -4x -2.
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