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Find the gradient of the line passing through (-4,4) and (-3,1) brainly

Sagot :

semsee45

Answer:

gradient = -3

Step-by-step explanation:

Find the gradient using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is one point and [tex](x_2, y_2)[/tex] is the other point.

Let [tex](x_1, y_1)[/tex] = (-4, 4)  and  [tex](x_2, y_2)[/tex] = (-3, 1)

Therefore, [tex]m=\frac{1-4}{-3--4}=\frac{-3}{1} =-3[/tex]

Now use the equation of line formula:  [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=-3(x--4)[/tex]

[tex]y-4=-3x-12[/tex]

[tex]y=-3x-8[/tex]

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