# How do you graph the line y = 4/5x + 3?

Jul 16, 2018

Assign value for x to find y.

#### Explanation:

If x is zero, $y = 3$

If x is 1, $y = 3.8$

If x is 2, $y = 4.6$

etc.

You can graph now:

graph{((4x)/5)+3 [-8.04, 11.96, -2.4, 7.6]}

Jul 16, 2018

Refer to the explanation.

#### Explanation:

Graph:

$y = \frac{4}{5} x + 3$

You only need two points to graph a straight line. The most convenient points are the x- and y-intercepts.

Y-intercept: value of $y$ when $x = 0$

Substitute $0$ for $x$ and solve for $y$.

$y = \frac{4}{5} \left(0\right) + 3$

$y = 3$

The y-intercept is the point $\left(0 , 3\right)$. Plot this point.

X-intercept: value of $x$ when $y = 0$

Substitute $0$ for $y$ and solve for $x$.

$0 = \frac{4}{5} x + 3$

Multiply both sides by $5$.

$0 = 4 x + 3 \times 5$

$0 = 4 x + 15$

Subtract $15$ from both sides.

$- 15 = 4 x$

Divide both sides by $4$.

$- \frac{15}{4} = x$

Switch sides.

$x = - \frac{15}{4}$ or $x = - 3.75$

The x-intercept is the point $\left(- \frac{15}{4} , 0\right)$ or $x = \left(- 3.75 , 0\right)$. Plot this point.

You now have two points plotted. Draw a straight line through the points.

graph{y=4/5x+3 [-10, 10, -5, 5]}