Graphing Lines Practice

The equation is in slope-intercept form: $y=m\!\cdot\!x+b$. In this form, $m$ gives us the slope of the line and $b$ gives us its $y$-intercept.

So $y=-\dfrac{4}{3}x+8$ has a slope of $-\dfrac{4}{3}$ and a $y$-intercept at $(0,8)$.

We need two points. We already have the $y$-intercept
$(0,8)$.

We can find a second point by reasoning about the slope. A slope of $-\dfrac{4 }{3 }$ means that when the $x$-value increases by ${3 }$, the $y$-value decreases by ${4 }$.

$(0 {+3},8 {-4})=(3,4)$

Now we can graph the equation.

The equation is in slope-intercept form: $y=m\!\cdot\!x+b$. In this form, $m$ gives us the slope of the line and $b$ gives us its $y$-intercept.

So $y=2x-7$ has a slope of $2$ and a $y$-intercept at
$(0,-7)$.

We need two points. We already have the $y$-intercept
$(0,-7)$.

We can find a second point by reasoning about the slope. A slope of  $2$ means that when the $x$-value increases by ${1}$, the $y$-value increases by
${2}$.

$(0 {+1},-7 {+2})=(1,-5)$

Now we can graph the equation.

The equation is in slope-intercept form: $y=m\!\cdot\!x+b$. In this form, $m$ gives us the slope of the line and $b$ gives us its $y$-intercept.

So $y=-\dfrac{3}{2}x-3$ has a slope of $-\dfrac{3}{2}$ and a $y$-intercept at $(0,-3)$.

We need two points. We already have the $y$-intercept
$(0,-3)$.

We can find a second point by reasoning about the slope. A slope of $-\dfrac{3 }{2 }$ means that when the
$x$-value increases by ${ 2}$, the $y$-value decreases by ${3 }$.

$(0 {+2},-3 {-3})=(2,-6)$

Now we can graph the equation.

The equation is in slope-intercept form: $y=m\!\cdot\!x+b$. In this form, $m$ gives us the slope of the line and $b$ gives us its $y$-intercept.

So $y=-3x+7$ has a slope of $-3$ and a $y$-intercept at $(0,7)$.

We need two points. We already have the $y$-intercept
$(0,7)$.

We can find a second point by reasoning about the slope. A slope of $-3$ means that when the $x$-value increases by ${1}$, the $y$-value decreases by ${3}$.

$(0 {+1},7 {-3})=(1,4)$

Now we can graph the equation.