Questions: Find the x and y intercepts of the equation: y=7x+4

Transcript text: Find the $x$ and $y$ intercepts of the equation: $y=7 x+4$

Solution

Solution Steps

Step 1: Find the

x

-intercept

To find the $x$ -intercept, set $y = 0$ in the equation $y = 7x + 4$ and solve for $x$ : $0 = 7x + 4$ $7x = -4$ $x = -\frac{4}{7}$ The $x$ -intercept is $\left( -\frac{4}{7}, 0 \right)$ .

Step 2: Find the

y

-intercept

To find the $y$ -intercept, set $x = 0$ in the equation $y = 7x + 4$ and solve for $y$ : $y = 7(0) + 4$ $y = 4$ The $y$ -intercept is $(0, 4)$ .

Step 3: Write the intercepts in the required format

The intercepts are: $x \text{ intercept } = \left( -\frac{4}{7}, 0 \right)$ $y \text{ intercept } = (0, 4)$

Final Answer

The $x$ intercept is $\boxed{\left( -\frac{4}{7}, 0 \right)}$ and the $y$ intercept is $\boxed{(0, 4)}$ .

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