Question

Slope-Intercept Form - Item 35347Question 1 of 7 Use the graph or table to find the equation that represents the relationship. CLEAR CHECK Representation Equation x y 5 −10 10 −25 13 −34 x y −7 −11 7 3 1 −3 On a coordinate plane, a line goes through (0, negative 1) and (0.5, 0). On a coordinate plane, a line goes through (0, negative 4) and (5, 0).

Answer 1

The slope intercept form of the equation of line will be;

The equation of line passes through the points (0, -1) and (0.5, 0) is,

⇒ y = 2x - 1

And, The equation of line passes through the points (0, -4) and (5, 0).

⇒ y = 0.8x - 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -1) and (0.5, 0).

And, Another coordinate plane, a line goes through (0,- 4) and (5, 0).

Now,

Since, The equation of line passes through the points (0, -1) and (0.5, 0).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (0 - (-1)) / (0.5 - 0)

m = 1 / 0.5

m = 2

Thus, The equation of line with slope 2 is,

⇒ y - (-1) = 2 (x - 0)

⇒ y + 1 = 2x

⇒ y = 2x - 1

And,

Since, The equation of line passes through the points (0, -4) and (5, 0).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (0 - (-4)) / (5 - 0)

m = 4 / 5

m = 0.8

Thus, The equation of line with slope 0.8 is,

⇒ y - (-4) = 0.8 (x - 0)

⇒ y + 4 = 0.8x

⇒ y = 0.8x - 4

Thus, The slope intercept form of the equation of line will be;

The equation of line passes through the points (0, -1) and (0.5, 0) is,

⇒ y = 2x - 1

And, The equation of line passes through the points (0, -4) and (5, 0).

⇒ y = 0.8x - 4

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