So what you will have found is that the $m$m value affects the gradient.
If $m<0$m<0, the gradient is negative and the line is decreasing
if $m>0$m>0, the gradient is positive and the line is increasing
if $m=0$m=0 the gradient is $0$0 and the line is horizontal
Also, the larger the value of $m$m the steeper the line
Y-Intercept
We also found that the $b$b value affects the $y$y intercept.
If $b$b is positive then the line is vertically translated (moved) up.
If $b$b is negative then the line is vertically translated (moved) down.
Question 1
$y=3x$y=3x
a) What is the the gradient? The gradient is the value of the coefficient, (the number in front of the $x$x).
The gradient of this line is 3.
b) What is the $y$y-intercept? The $y$y-intercept is the value of the constant term, (the number on its own). The $y$y-intercept of this line is 0.
Question 2
$y=-2x$y=−2x
gradient is $-2$−2
$y$y intercept is $0$0
Question 3
$y=\frac{x}{2}-3$y=x2−3
gradient is $\frac{1}{2}$12
$y$y intercept is $-3$−3
Question 4
Consider the equation $y=-1-\frac{9x}{2}$y=−1−9x2.
State the gradient of the line.
State the $y$y-value of the $y$y-intercept.
Question 5
$2y=-4x+10$2y=−4x+10
First we need to rewrite it in the form or $y=mx+b$y=mx+b.
$y=-2x+5$y=−2x+5
gradient is $-2$−2
$y$y intercept is $5$5
Outcomes
11.CG.SL.1
Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.