Gr 11 Math Ch 4: Equations of a Line

(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)

Gradient-point form

y-intercept of the straight line

<p>y - y_1 = m(x - x_1)</p> Signup and view all the answers

<p>Two-point form: used when two points are known, Gradient-point form: used when the gradient and one point are known, Gradient-intercept form: used when the gradient and y-intercept are known</p> Signup and view all the answers

<p>By substituting m = (y_2 - y_1)/(x_2 - x_1) into the two-point form</p> Signup and view all the answers

<p>y = mx + c</p> Signup and view all the answers

<p>Circle form</p> Signup and view all the answers

<p>To find the equation of the line when two points are known</p> Signup and view all the answers

<p>c</p> Signup and view all the answers

<p>c = y_1 - mx_1</p> Signup and view all the answers

<p>By expanding the brackets and making y the subject of the formula</p> Signup and view all the answers

<p>m = (y_2 - y_1) / (x_2 - x_1)</p> Signup and view all the answers

<p>y - y_1 = m(x - x_1)</p> Signup and view all the answers

<p>The gradient-point form uses the gradient and one point, while the two-point form uses two points</p> Signup and view all the answers

<p>Finding the equation of a line when two points are known</p> Signup and view all the answers

<p>3</p> Signup and view all the answers

<p>2</p> Signup and view all the answers

<p>3</p> Signup and view all the answers

<p>To find the y-intercept of a line</p> Signup and view all the answers

<p>3</p> Signup and view all the answers

<p>The two-point form is used when two points are known, and the gradient-point form is used when the gradient and a point are known</p> Signup and view all the answers

<p>It allows us to easily find the y-intercept</p> Signup and view all the answers

<p>-2</p> Signup and view all the answers

<p>It is easier to find the y-intercept of the line.</p> Signup and view all the answers

<p>Subtracting x from both sides of the equation.</p> Signup and view all the answers

<p>To find the equation of a line given two points.</p> Signup and view all the answers

<p>Gradient-intercept form.</p> Signup and view all the answers

<p>They are equivalent forms.</p> Signup and view all the answers

<p>All of the above.</p> Signup and view all the answers

<p>The gradient-intercept form provides the y-intercept, while the two-point form does not.</p> Signup and view all the answers

<p>It requires two points on the line.</p> Signup and view all the answers

<p>One point on the line is known.</p> Signup and view all the answers

<p>To represent the y-intercept of the line.</p> Signup and view all the answers

<p>When two points on the line are known.</p> Signup and view all the answers

<p>It is easier to find the y-intercept of the line.</p> Signup and view all the answers

<p>When the gradient and one point on the line are known.</p> Signup and view all the answers